GlueBall: Lattice
- Glueball Regge trajectories and the Pomeron -- a lattice study --
Harvey B. Meyer and Michael J. Teper
hep-ph/0409183
We perform lattice calculations of the lightest J=0,2,4,6 glueball masses in
the D=3+1 SU(3) gauge theory and extrapolate to the continuum limit. Assuming
that these masses lie on linear Regge trajectories we find a leading glueball
trajectory alpha(t)=0.93(24) + 0.28(2)alpha'_R t, where alpha'_R ~ 0.9 GeV^{-2}
is the slope of the usual mesonic Regge trajectory. This glueball trajectory
has an intercept and slope similar to that of the Pomeron trajectory. We
contrast this with the situation in D=2+1 where the leading glueball Regge
trajectory is found to have too small an intercept to be important for
high-energy cross-sections. We interpret the observed states and trajectories
in terms of open and closed string models of glueballs. We discuss the large-N
limit and perform an SU(8) calculation that hints at new states based on closed
strings in higher representations.
- Finite Temperature Gauge Theory from the Transverse Lattice
S. Dalley, B. van de Sande
hep-ph/0409114
We compute the highly excited spectrum of glueballs and mesons in
SU(infinity) gauge theory by transverse lattice Hamiltonian methods, and use
the results to construct the partition function at finite temperature. We find
an exponential growth of the density of states, implying a finite critical
(Hagedorn) temperature. The critical temperature found for both mesons and
glueballs is consistent with that of Euclidean lattice computations, and is
smaller than that of the Nambu-Goto string model.
- Properties of Thermal Glueballs
Noriyoshi Ishii and Hideo Suganuma
hep-lat/0312040
We study the properties of the 0++ glueball at finite temperature using SU(3)
quenched lattice QCD. We find a significant thermal effects near T_c. We
perform the \chi^2 fit analyses adopting two Ansaetze for the spectral
function, i.e., the conventional narrow-peak Ansatz and an advanced
Breit-Wigner Ansatz. The latter is an extension of the former, taking account
of the appearance of the thermal width at T>0. We also perform the MEM
analysis. These analyses indicate that the thermal effect on the glueball is a
significant thermal-width broadening \Gamma(T_c) \sim 300 MeV together with a
modest reduction in the peak center \Delta\omega_0(T_c) \sim 100 MeV.
- Glueball Matrix Elements on Anisotropic Lattices
Y. Chen, S.-J. Dong, T. Draper, I. Horvath, F.-X. Lee, N. Mathur, C.
Morningstar, M. Peardon, S. Tamhankar, B.L. Young, and J.-B. Zhang
hep-lat/0310013
The glueball-to-vacuum matrix elements of local gluonic operators in scalar,
tensor, and pseudoscalar channels are investigated numerically on several
anisotropic lattices with the spatial lattice spacing in the range 0.1fm --
0.2fm. These matrix elements are needed to predict the glueball branching
ratios in $J/\psi$ radiative decays which will help to identify the glueball
states in experiments. Two types of improved local gluonic operators are
constructed for a self-consistent check, and the finite volume effects are also
studied. The lattice spacing dependence of our results is very small and the
continuum limits are reliably extrapolated.
- Excitations of the torelon
K.J. Juge, J. Kuti, F. Maresca, C. Morningstar, M. Peardon
hep-lat/0309180
The excitations of gluonic flux tube in a periodic lattice are examined.
Monte Carlo simulations from an anisotropic lattice are presented and the
comparison with effective string models is discussed.
- Simulating the scalar glueball on the lattice
Colin Morningstar and Mike Peardon
nucl-th/0309068
Techniques for efficient computation of the scalar glueball mass on the
lattice are described. Directions and physics goals of proposed future
calculations will be outlined.
- Glueball masses in 4d U(1) lattice gauge theory using the multi-level
algorithm
Pushan Majumdar, Yoshiaki Koma, Miho Koma
hep-lat/0309003
We take a new look at plaquette-plaquette correlators in 4d compact U(1)
lattice gauge theory which are separated in time, both in the confined and the
deconfined phases. From the behaviour of these correlators we extract glueball
masses in the scalar as well as the axial-vector channels. Also in the
deconfined phase, the non-zero momentum axial-vector correlator gives us
information about the photon which appears as a massless particle in the
spectrum. Using the Luescher - Weisz multi-level algorithm, we are able to go
to large time separations which were not possible previously.
- Glueball Regge Trajectories in (2+1) Dimensional Gauge Theories
Harvey B. Meyer, Michael J. Teper
hep-lat/0306019
We compute glueball masses for even spins ranging from 0 to 6, in the D=2+1
SU(2) lattice gauge theory. We do so over a wide range of lattice spacings, and
this allows a well-controlled extrapolation to the continuum limit. When the
resulting spectrum is presented in the form of a Chew-Frautschi plot we find
that we can draw a straight Regge trajectory going through the lightest
glueballs of spin 0, 2, 4 and 6. The slope of this trajectory is small and
turns out to lie between the predictions of the adjoint-string and flux-tube
glueball models. The intercept we find, \alpha_0 ~ -1, is much lower than is
needed for this leading trajectory to play a `Pomeron-like' role of the kind it
is often believed to play in D=3+1. We elaborate the Regge theory of high
energy scattering in 2 space dimensions, and we conclude, from the observed low
intercept, that high-energy glueball scattering is not dominated by the leading
Regge pole exchange, but rather by a more complex singularity structure in the
region 0 <= Re{\lambda} <= 1/2 of the complex angular momentum \lambda plane.
We show that these conclusions do not change if we go to larger groups,
SU(N>2), and indeed to SU(\infty), and we contrast all this with our very
preliminary calculations in the D=3+1 SU(3) gauge theory.
- SU(N) Glueball Masses in 2+1 Dimensions
<\li>
Jesse Carlsson and Bruce H. J. McKellar
hep-lat/0303016
We calculate the masses of the lowest lying eigenstates of improved SU(2),
SU(3), SU(4) and SU(5) Hamiltonian lattice gauge theory (LGT) in 2+1 dimensions
using an analytic variational approach. The ground state is approximated by a
one plaquette trial state and mass gaps are calculated in the symmetric and
antisymmetric sectors by minimising over a suitable basis of rectangular
states. Analytic techniques are developed to handle the group integrals arising
in the calculation.
- Renormalization of Anisotropy and Glueball Masses on Tadpole Improved
Lattice Gauge Action
Mushtaq Loan, Tim Byrnes and Chris Hamer
hep-lat/0303011
The Numerical calculations for tadpole-improved U(1) lattice gauge theory in
three-dimensions on anisotropic lattices have been performed using standard
path integral Monte Carlo techniques. Using average plaquette tadpole
renormalization scheme, simulations were done with temporal lattice spacings
much smaller than the spatial ones and results were obtained for the string
tension, the renormalized anisotropy and scalar glueball masses. We find, by
comparing the `regular' and `sideways' potentials, that tadpole improvement
results in very little renormalization of the bare anisotropy and reduces the
discretization errors in the static quark potential and in the glueball masses.
- High Spin Glueballs from the Lattice
Harvey B. Meyer, Michael J. Teper
hep-lat/0212026
We discuss the principles underlying higher spin glueball calculations on the
lattice. For that purpose, we develop numerical techniques to rotate Wilson
loops by arbitrary angles in lattice gauge theories close to the continuum. As
a first application, we compute the glueball spectrum of the SU(2) gauge theory
in 2+1 dimensions for both parities and for spins ranging from 0 up to 4
inclusive. We measure glueball angular wave functions directly, decomposing
them in Fourier modes and extrapolating the Fourier coefficients to the
continuum. This allows a reliable labelling of the continuum states and gives
insight into the way rotation symmetry is recovered. As one of our results, we
demonstrate that the D=2+1 SU(2) glueball conventionally labelled as J^P = 0^-
is in fact 4^- and that the lightest ``J=1'' state has, in fact, spin 3.
- The Thermal Width of the Glueball at Non-Zero Temperature
Noriyoshi Ishii, Hideo Suganuma, Hideo Matsufuru
hep-lat/0208043
We use SU(3) anisotropic lattice QCD at quenched level to study the 0++
glueball correlator at various temperature taking into account the possible
existence of the thermal width in the ground-state peak. For this purpose, we
adopt the Breit-Wigner ansatz for the appropriate fit-function for the lattice
data obtained with 5,500-9,900 gauge configurations at each T. The results show
the significant thermal width broadening as Gamma(T_c) \sim 300 MeV with a
reduction in the peak center as Delta omega_0(T_c) \sim 100 MeV near the
critical temperature T_c.
- Glueball Properties at Finite Temperature in SU(3) Anisotropic Lattice
QCD
Noriyoshi Ishii, Hideo Suganuma, Hideo Matsufuru
hep-lat/0206020
The thermal properties of the glueballs are studied using SU(3) anisotropic
lattice QCD with beta=6.25, the renormalized anisotropy xi=a_s/a_t=4 over the
lattice of the size 20^3\times N_t with N_t = 24, 26, 28, 30, 33, 34, 35, 36,
37, 38, 40, 43, 45, 50, 72 at the quenched level. To construct a suitable
operator on the lattice, we adopt the smearing method, and consider its
physical meaning in terms of the operator size. First, we construct the
temporal correlators G(t) for the 0^{++} and 2^{++} glueballs, using more than
5,000 gauge configurations at each temperature. We then measure the pole-mass
of the thermal glueballs from G(t). For the lowest 0^{++} glueball, we observe
a significant pole-mass reduction of about 300 MeV near T_c or m_G(T\simeq T_c)
\simeq 0.8 m_G(T\sim 0), while its size remains almost unchanged as rho(T)
\simeq 0.4fm. Finally, for completeness, as an attempt to take into account the
effect of thermal width Gamma(T) at finite temperature, we perform a more
general new analysis of G(t) based on its spectral representation. By adopting
the Breit-Wigner form for the spectral function rho(omega), we perform the
best-fit analysis as a straightforward extension to the standard pole-mass
analysis. The result indicates a significant broadening of the peak as Gamma(T)
\sim 300 MeV as well as rather modest reduction of the peak center of about 100
MeV near T_c for the lowest 0^{++} glueball. The temporal correlators of the
color-singlet modes corresponding to these glueballs above $T_c$ are also
investigated.
- Glueballs, strings and topology in SU(N) gauge theory
M. Teper
hep-lat/0112019
I show how one can use lattice methods to calculate various continuum
properties of SU(N) gauge theories; in part to explore old ideas that N=3 might
be close to N=infinity. I describe calculations of the low-lying `glueball'
mass spectrum, of the string tensions of k-strings and of topological
fluctuations for N=2,3,4,5. We find that mass ratios appear to show a rapid
approach to the large-N limit, and, indeed, can be described all the way down
to SU(2) using just a leading O(1/NxN) correction. We confirm that the smooth
large-N limit we find is confining and is obtained by keeping a constant 't
Hooft coupling. We find that the ratio of the k=2 string tension to the k=1
fundamental string tension is much less than the naive (unbound) value of 2 and
is considerably greater than the naive bag model prediction; in fact we find
that it is consistent, within quite small errors, with either the
M(-theory)QCD-inspired conjecture or with `Casimir scaling'. Finally I describe
calculations of the topological charge of the gauge fields. We observe that, as
expected, the density of small-size instantons vanishes rapidly as N increases,
while the topological susceptibility appears to have a non-zero N=infinity
limit.
- Glueball and gluelump spectrum in abelian projected QCD
V. Bornyakov, G. Schierholz, and T. Streuer
hep-lat/0111018
We study glueball and gluelump spectra calculated after abelian projection in
both quenched and $N_f=2$ full QCD. The abelian projection is made after MA
gauge fixing. We demonstrate that both spectra can be recovered despite the
problem with positivity. We suggest the interpretation of some of the gluelump
states in the language of the abelian projected theory.
- Glueballs and topology with O(a)-improved lattice QCD
A. Hart
hep-lat/0110167
We present evidence for unquenching effects in N_f=2, 16^3 32 ensembles by
comparing with `equivalent' quenched data at r_0~5.0. A (small) VEV for
torelons signals (weak) string breaking. A 15-20 % reduction in the scalar
glueball mass relative to quenched is argued to be (in part at least) a
discretisation effect. We find a chiral suppression of the topological
susceptibility consistent with expectations, and agreement between fermionic
and gluonic methods for measuring the topological charge.
- "Glueballs": results and perspectives from the lattice
Gunnar S. Bali
hep-ph/0110254
I review the present status of lattice calculations of properties of
gluon-rich hadrons and comment on future prospects, in view of planned
experiments.
- Scalar Glueball Mass Reduction at Finite Temperature in SU(3)
Anisotropic Lattice QCD
Noriyoshi Ishii, Hideo Suganuma,
Hideo Matsufuru
hep-lat/0109011
We report the first study of the glueball properties at finite temperatures
below T_c using SU(3) anisotropic lattice QCD with beta = 6.25, the
renormalized anisotropy gamma = a_s/a_t = 4 and 20^3 \times N_t (N_t = 35, 36,
37, 38, 40, 43, 45, 50, 72) at the quenched level. From the temporal
correlation analysis with the smearing method, about 20 % mass reduction is
observed for the lowest scalar glueball as m_G(T) = 1.25 \pm 0.1 GeV for 0.8
T_c < T < T_c in comparison with m_G \simeq 1.5 \sim 1.7 GeV at T \sim 0.
- On the glueball spectrum in O(a)-improved lattice QCD
UKQCD Collaboration: A. Hart (Cambridge), M. Teper (Oxford)
hep-lat/0108022
We calculate the light `glueball' mass spectrum in N_f=2 lattice QCD using a
fermion action that is non--perturbatively O(a) improved. We work at lattice
spacings a~0.1 fm and with quark masses that range down to about half the
strange quark mass. We find the statistical errors to be moderate and under
control on relatively small ensembles. We compare our mass spectrum to that of
quenched QCD at the same value of a. Whilst the tensor mass is the same (within
errors), the scalar mass is significantly lighter in the dynamical lattice
theory, by a factor of ~0.84 +/- 0.03. We discuss what the observed m_q
dependence of this suppression tells us about the dynamics of glueballs in QCD.
We also calculate the masses of flux tubes that wind around the spatial torus,
and extract the string tension from these. As we decrease the quark mass we see
a small but growing vacuum expectation value for the corresponding flux tube
operators. This provides clear evidence for `string breaking' and for the
(expected) breaking of the associated gauge centre symmetry by sea quarks.
- Glueball properties in anisotropic SU(3) lattice QCD with improved
action
Noriyoshi Ishii, Hideo Suganuma and Hideo Matsufuru
hep-lat/0106004
We study the glueballs properties at finite temperature using SU(3) lattice
QCD at the quenched level with the anisotropic lattice. We use the tree-level
Symanzik O(a^2) improved action. We present our preliminary results which shows
the slight reduction of the scalar glueball mass near T_c
- The First Calculation for the Mass of the Ground $4^{++}$ Glueball State
on Lattice
Da Qing Liu, Ji Min Wu
hep-lat/0105019
Under the quenched approximation, we perform a lattice calculation for the
mass of the ground $4^{++}$ glueball state in $E^{++}$ channel on a $D=3+1$
lattice. Our calculation shows that the mass of this state is
$M_G(4^{++})=3.65(6)(18)GeV$, which rules out the $4^{++}$ or mainly $4^{++}$
glueball interpretation for $\xi(2230)$.
- A New Approach to Construct the Operator on Lattice for the Calculation
of Glueball Masses
Da Qing Liu, Ji Min Wu and Ying Chen
hep-lat/0103018
We develop a new approach to construct the operator on lattice for the
calculation of glueball mass, which is based on the connection between the
continuum limit of the chosen operator and the quantum number $J^{PC}$ of the
state studied. The spin of this states is then unique in this approach. Under
the quenched approximation, we present pre-calculation results for the masses
of $0^{++}$ state and $2^{++}$ state, which are $1757(100)(86)MeV$ and
$2417(84)(117)MeV$, respectively. This approach can be applied to calculate the
mass of glueball with any spin $J$ including $J\geq 4$.
- Fixed Point SU(3) Gauge Actions: Scaling Properties and Glueballs
Ferenc Niedermayer, Philipp Rufenacht, Urs Wenger
hep-lat/0011041
We present a new parametrization of a SU(3) fixed point (FP) gauge action
using smeared ("fat") gauge links. We report on the scaling behaviour of the FP
action on coarse lattices by means of the static quark-antiquark potential, the
hadronic scale $r_0$, the string tension $\sigma$ and the critical temperature
$T_c$ of the deconfining phase transition. In addition, we investigate the low
lying glueball masses where we observe no scaling violations within the
statistical errors.
- Mixing of scalar glueballs and flavour-singlet scalar mesons
Craig McNeile and Chris Michael
hep-lat/0010019
We discuss in detail the extraction of hadronic mixing strengths from lattice
studies. We apply this to the mixing of a scalar glueball and a scalar meson in
the quenched approximation. We also measure correlations appropriate for
flavour-singlet scalar mesons using dynamical quark configurations from UKQCD.
This enables us to compare the results from the quenched study of the mixing
with the direct determination of the mixed spectrum. Improved methods of
evaluating the disconnected quark diagrams are also presented.
- Scalar and Tensor Glueballs on Asymmetric Coarse Lattices
C. Liu
hep-lat/0010007
Scalar and tensor glueball spectrum is studied using an improved gluonic
action on asymmetric lattices in the pure SU(3) gauge theory. The smallest
spatial lattice spacing is about 0.08fm which makes the extrapolation to the
continuum limit more reliable. In particular, attention is paid to the scalar
glueball mass which is known to have problems in the extrapolation. Converting
our lattice results to physical units using the scale set by the static quark
potential, we obtain the following results for the glueball masses:
$M_G(0^{++})=1730(90)MeV$ for the scalar glueball mass and
$M_G(2^{++})=2400(95)MeV$ for the tensor glueball.
- Vortex dominance of the 0+ and 2+ glueball mass in SU(2) lattice gauge
theory
Kurt Langfeld, Alexandra Schafke
hep-lat/0008023
The c-vortex ensembles are constructed by means of the recently proposed
cooling method which gradually removes the SU(2)/Z_2 coset fields from the
SU(2) lattice configurations and which thus reveals the Z_2 vortex vacuum
texture. Using Teper's blocking method, the screening masses of the 0+ and the
2+ glueball is calculated from these vortex ensembles and compared with the
masses obtained from full configurations. The masses of either case agree
within the achieved numerical accuracy of 10%. As a byproduct, we find that the
overlaps of the Teper operators with the glueball wavefunctions are
significantly larger in the case of the c-vortex ensembles.
- Gluons in the lattice SU(2) classical field
Ying Chen, Ji-Min Wu and Bing He
hep-lat/0007040
The SU(2) gluonic correlation functions, glueball effective masses in the
$J^{P}=0^{+}$, $2^{+}$ and $0^{-}$ channels were calculated from the lattice
classical gauge configurations which were obtained by smoothing the thermal
gauge configurations through the improved cooling method. The instanton-induced
attractive force in the $0^{+}$ channel and the repulsive force in the $0^-$
channel are confirmed in the Monte Carlo simulation. There is evidence that the
instanton vacuum contribution to the $0^+$ glueball mass is significant.
- Fixed Point Gauge Actions with Fat Links: Scaling and Glueballs
Ferenc Niedermayer, Philipp Rufenacht, Urs Wenger
hep-lat/0007007
A new parametrization is introduced for the fixed point (FP) action in SU(3)
gauge theory using fat links. We investigate its scaling properties by means of
the static quark-antiquark potential and the dimensionless quantities $r_0 T_c,
T_c/\sqrt{\sigma}$ and $r_0 \sqrt{\sigma}$, where $T_c$ is the critical
temperature of the deconfining phase transition, $r_0$ is the hadronic scale
and $\sigma$ is the effective string tension. These quantities scale even on
lattices as coarse as $a \approx 0.3$ fm. We also measure the glueball spectrum
and obtain $m_{0^{++}}=1627(83)$ MeV and $m_{2^{++}}=2354(95)$ MeV for the
masses of the scalar and tensor glueballs, respectively.
- A Lattice Study of the Glueball Spectrum
Chuan Liu
hep-lat/0004018
Glueball spectrum is studied using an improved gluonic action on asymmetric
lattices in the pure SU(3) gauge theory. The smallest spatial lattice spacing
is about $0.08fm$ which makes the extrapolation to the continuum limit more
reliable. In particular, attention is paid to the scalar glueball mass which is
known to have problems in the extrapolation. Converting our lattice results to
physical units using the scale set by the static quark potential, we obtain the
following results for the glueball masses: $M_G(0^{++})=1730(90)MeV$ for the
scalar glueball mass and $M_G(2^{++})=2400(95)MeV$ for the tensor glueball.
- Static potentials and glueball masses from QCD simulations with Wilson
sea quarks
Gunnar S. Bali, Bram Bolder, Norbert Eicker, Thomas Lippert, Boris
Orth, Peer Ueberholz, Klaus Schilling, Thorsten Struckmann
hep-lat/0003012
We calculate glueball and torelon masses as well as the lowest lying hybrid
potential in addition to the static ground state potential in lattice
simulations of QCD with two flavours of dynamical Wilson fermions. The results
are obtained on lattices with $16^3\times 32$ and $24^3\times 40$ sites at
$\beta=5.6$, corresponding to a lattice spacing, $a^{-1}=2.65^{+5}_{-8}$ GeV,
as determined from the Sommer force radius, at physical sea quark mass. The
range spanned in the present study of five different quark masses is reflected
in the ratios, $0.83\geq m_{\pi}/m_{\rho}\geq 0.57$.
-
Lattice Gauge Theories and the AdS/CFT Correspondence
M. Caselle
hep-th/0003119
This is the write-up of a set of lectures on the comparison between Lattice
Gauge Theories and AdS/CFT results for the non-perturbative behaviour of
non-supersymmetric Yang Mills theories. These notes are intended for students
which are assumed not to be experts in L.G.T. For this reason the first part is
devoted to a pedagogical introduction to the Lattice regularization of QCD. In
the second part we discuss some basic features of the AdS/CFT correspondence
and compare the results obtained in the non-supersymmetric limit with those
obtained on the Lattice. We discuss in particular the behaviour of the string
tension and of the glueball spectrum. Lectures delivered at the School of
Theoretical Physics (S.N.F.T.), Parma, September 1999.
- Glueballs on a transverse lattice
S. Dalley and B. van de Sande
hep-lat/9911035
Accurate non-perturbative calculations of glueballs are performed using
light-front quantised SU(N) gauge theory, to leading order of the 1/N
expansion. Based on early work of Bardeen and Pearson, disordered
gauge-covariant link variables M on a coarse transverse lattice are used to
approximate the physical gauge degrees of freedom. Simple energetics imply
that, at lattice spacings of order the inverse QCD scale, the effective
light-front Hamiltonian can be expanded in gauge-invariant powers of M: a
colour-dielectric expansion. This leads to a self-consistent constituent
structure of boundstates. We fix the couplings of this expansion by optimising
Lorentz covariance of low-energy eigenfunctions. To lowest non-trivial order of
the expansion, we have found a one-parameter trajectory of couplings that
enhances Lorentz covariance. On this trajectory the masses of nearly-covariant
glueball states exhibit approximate scaling, having values consistent with
large-N extrapolations of continuum results from other methods. There is very
little variation with N in pure Yang-Mills theory: the lightest glueball mass
changes by only a few percent between SU(3) and SU(infinity). The corresponding
light-front wavefunctions show an unconventional structure. We also examine
restoration of rotational invariance in the heavy-source potential.
- The glueball spectrum from novel improved actions
Colin Morningstar and Mike Peardon
hep-lat/9911003
Results for the inter-quark potential and low-lying SU(3) glueball spectrum
from simulations using a new improved action are presented. The action,
suitable for highly anisotropic lattices, contains a two-plaquette term
coupling with a negative coefficient as well as incorporating Symanzik
improvement.
- Glueball Mass Predictions of the Valence Approximation to Lattice QCD
A. Vaccarino and D. Weingarten
hep-lat/9910007
We evaluate the infinite volume, continuum limit of glueball masses in the
valence (quenched) approximation to lattice QCD. For the lightest scalar and
tensor states we obtain masses of $1648 \pm 58$ MeV and $2267 \pm 104$ MeV,
respectively.
- String tension and glueball masses of SU(2) QCD from perfect action for
monopoles and strings
S. Fujimoto, S. Kato, M. Murata and T. Suzuki
hep-lat/9909103
We study the perfect monopole action as an infrared effective theory of SU(2)
QCD. It is transformed exactly into a lattice string model. Since the monopole
interactions are weak in the infrared SU(2) QCD, the string interactions become
strong. The strong coupling expansion of string model shows the quantum
fluctuation is small. The classical string tension is estimated analytically,
and we see it is very close to the quantum one in the SU(2) QCD. We also
discuss how to calculate the glueball mass in our model.
- Glueballs and Hybrids (Gluons as Constituents)
D. Toussaint
hep-lat/9909088
After a brief introduction to hybrid and glueball source operators, summarize
recent lattice results for these particles.
- The glueball spectrum from an anisotropic lattice study
Colin J. Morningstar and Mike Peardon
hep-lat/9901004
The spectrum of glueballs below 4 GeV in the SU(3) pure-gauge theory is
investigated using Monte Carlo simulations of gluons on several anisotropic
lattices with spatial grid separations ranging from 0.1 to 0.4 fm. Systematic
errors from discretization and finite volume are studied, and the continuum
spin quantum numbers are identified.
Care is taken to distinguish single glueball states from two-glueball and
torelon-pair states. Our determination of the spectrum significantly improves
upon previous Wilson action calculations.
- Continuum Limit of Scalar Masses and Mixing Energies
W. Lee and D. Weingarten
hep-lat/9811005
We evaluate the continuum limit of the valence approximation to the mass of
scalar quarkonium and to the scalar quarkonium-glueball mixing energy for a
range of different quark masses. Our results answer several questions raised by
the proposed identification of $f_0(1710)$ as composed primarily of the
lightest scalar glueball.
- SCALAR QUARKONIUM MASSES AND MIXING WITH THE LIGHTEST SCALAR GLUEBALL.
W. Lee, D. Weingarten (IBM Watson Res. Ctr.). IBM-HET-98-1, May
1998. 11pp. e-Print Archive: hep-lat/9805029
We evaluate the continuum limit of the valence (quenched)
approximation to the mass of the lightest scalar quarkonium state, for
a range of different quark masses, and to the mixing energy between these
states and the lightest scalar glueball. Our results support the interpretation
of $f_0(1710)$ as composed mainly of the lightest scalar glueball.
-
THE SCALAR QUARKONIUM SPECTRUM AND QUARKONIUM GLUEBALL MIXING.
W. Lee, D. Weingarten (IBM Watson Res. Ctr.). IBM-HET-97-1, Jul
1997. 3pp. Talk given at Lattice 97: 15th International Symposium
on Lattice Field Theory, Edinburgh, Scotland, 22-26 Jul 1997. Published
in Nucl.Phys.Proc.Suppl.63:194-196,1998. e-Print Archive: hep-lat/9801013
We evaluate the valence approximation to the mass of scalar
quarkonium and to the mixing energy between scalar quarkonium and the lightest
scalar glueball for a range of different lattice sizes and quark masses.
Our results support the identification of $f_0(1710)$ as the lightest scalar
glueball.
-
METHOD FOR EXTRACTING THE GLUEBALL WAVE FUNCTION.
By Jin-ming Liu, Xiang-Qian Luo, Xi-yan Fang, Shuo-hong Guo (CCAST
World Lab, Beijing & Zhongshan U.), Helmut Kroger (Laval U.), Dieter
Schutte (Bonn U.), Lee Lin (Taiwan, National Chung Hsing U.). July 1997.
3pp. Presented at Lattice 97: 15th International Symposium on Lattice Field
Theory, Edinburgh, Scotland, 22-26 Jul 1997. Published in Nucl.Phys.Proc.Suppl.63:257-259,1998.
e-Print Archive: hep-lat/9711037
We describe a nonperturbative method for calculating the
QCD vacuum and glueball wave functions, based on an eigenvalue equation
approach to Hamiltonian lattice gauge theory. Therefore, one can obtain
more physical information than the conventional simulation methods. For
simplicity, we take the 2+1 dimensional U(1) model as an example. The generalization
of this method to 3+1 dimensional QCD is straightforward.
-
GLUEBALL MATRIX ELEMENTS ON ANISOTROPIC LATTICES.
By Kentucky Glueball Collaboration (S.J. Dong et al.). UK-97-18, Jul
1997. 3pp. Talk given at Lattice 97: 15th International Symposium on Lattice
Field Theory, Edinburgh, Scotland, 22-26 Jul 1997. Published in Nucl.Phys.Proc.Suppl.63:254-256,1998.
e-Print Archive: hep-lat/9709160
We describe a lattice calculation of the matrix elements
relevant for glueball production in $J / \psi$ radiative decays. The techniques
for such a calculation on anisotropic lattices with an improved action
are outlined. We present preliminary results showing the efficacy of the
computational method.
-
EFFICIENT GLUEBALL SIMULATIONS ON ANISOTROPIC LATTICES.
By Colin J. Morningstar (UC, San Diego), Mike Peardon (Kentucky U.).
UCSD-PTH-97-05, Apr 1997. 43pp. Published in Phys.Rev. D56:4043-4061,1997.
e-Print Archive: hep-lat/9704011
Monte Carlo results for the low-lying glueball spectrum
using an improved, anisotropic action are presented. Ten simulations at
lattice spacings ranging from 0.2 to 0.4 fm and two different anisotropies
have been performed in order demonstrate the advantages of using coarse,
anisotropic lattices to calculate glueball masses. Our determinations of
the tensor (2++) and pseudovector (1+-) glueball masses are more accurate
than previous Wilson action calculations.
-
TOWARDS THE GLUEBALL SPECTRUM OF FULL QCD.
SESAM Collaboration (G.S. Bali et al.). HLRZ-59-96, Aug 1996. 4pp.
Presented at Lattice 96: 14th International Symposium on Lattice Field
Theory, St. Louis, MO, 4-8 Jun 1996. Published in Nucl.Phys. Proc.Suppl.
53:239-242,1997 Also in Lattice 96:239-242 (QCD161:I715:1996) e-Print Archive:
hep-lat/9608096
We present first results on masses of the scalar and tensor
glueballs as well as of the torelon from simulations of QCD with two light
flavours of Wilson fermions. The gauge configurations of extent 16^3*32
at beta = 5.6 and kappa = 0.156, 0.157 and 0.1575 have been generated as
part of the SESAM collaboration programme. The present lattice resolutions
correspond to 1/a = 2.0-2.3 GeV and ratios m(pi)/m(rho) = 0.83, 0.76 and
0.71, respectively. Studies on larger lattice volumes and closer to the
chiral limit are in progress.
-
ESTIMATE FOR THE 0++ GLUEBALL MASS IN QCD.
By Xiang-Qian Luo, Qi-Zhou Chen (CCAST World Lab, Beijing & Zhongshan
U.). Apr 1996. 10pp. Published in Mod.Phys.Lett.A11:2435-2442,1996. e-Print
Archive: hep-ph/9604395
We obtain accurate result for the lightest glueball mass
of QCD in 3 dimensions from lattice Hamiltonian field theory. Using the
dimensional reduction argument, a good approximation for confining theories,
we suggest that the $0^{++}$ glueball mass in 3+1 dimensional QCD be about
$1.71$ GeV.
-
SCALAR GLUEBALL DECAY.
J. Sexton, A. Vaccarino, D. Weingarten (IBM Watson Res. Ctr.). IBM-HET-94-5,
Sep 1994. 3pp. Talk given at LATTICE 94: 12th International Symposium on
Lattice Field Theory, Bielefeld, Germany, 27 Sep - 1 Oct 1994. Published
in Nucl.Phys.Proc.Suppl.42:279-281,1995. e-Print Archive:
hep-lat/9412042
We evaluate the coupling constant for the lightest scalar
glueball to decay to pseudoscalar meson pairs. The calculation is done
in the valence approximation on a $16^3 \times 24$ lattice at $\beta =
5.70$ for two different values of pseudoscalar meson mass.
-
SCALAR QUARKONIUM AND THE SCALAR GLUEBALL.
By Don Weingarten (IBM Watson Res. Ctr.). IBM-HET-96-2, Jun 1996. 4pp.
Presented at Lattice 96: 14th International Symposium on Lattice Field
Theory, St. Louis, MO, 4-8 Jun 1996. Published in Nucl.Phys.Proc.Suppl.53:232-235,1997
Also in Lattice 96:232-235 (QCD161:I715:1996). e-Print Archive: hep-lat/9608070
Valence approximation glueball mass and decay calculations
support the identification of $f_J(1710)$ as the lightest scalar glueball.
An alternate glueball candidate is $f_0(1500)$. I present evidence for
the identification of $f_0(1500)$ as $s\overline{s}$ quarkonium.
-
NUMERICAL EVIDENCE FOR THE OBSERVATION OF A SCALAR GLUEBALL.
By J. Sexton, A. Vaccarino, D. Weingarten (IBM Watson Res. Ctr.). IBM-HET-95-2,
Oct 1995. 12pp. Published in Phys.Rev.Lett.75:4563-4566,1995. e-Print Archive:
hep-lat/9510022
We compute from lattice QCD in the valence (quenched) approximation
the partial decay widths of the lightest scalar glueball to pairs of pseudoscalar
quark-antiquark states. These predictions and values obtained earlier for
the scalar glueball's mass are in good agreement with the observed properties
of $f_J(1710)$ and inconsistent with all other observed meson resonances.
-
COUPLING CONSTANTS FOR SCALAR GLUEBALL DECAY.
By J. Sexton, A. Vaccarino, D. Weingarten (IBM Watson Res. Ctr.). IBM-HET-95-3,
Feb 1996. 8pp. Talk given at International Symposium on Lattice Field Theory
(Lattice '95), Melbourne, Australia, 11-15 Jul 1995. Published in Nucl.Phys.Proc.Suppl.47:128-135,1996
Also in Lattice 1995:0128-135 (QCD161:I715:1995). e-Print Archive: hep-lat/9602022
We evaluate the partial decay widths of the lightest scalar
glueball to pairs of pseudoscalar quark-antiquark states. The calculation
is done in the valence (quenched) approximation on a $16^3 \time 24$ lattice
at $\beta = 5.7$. These predictions and values obtained earlier for the
infinite volume continuum limit of the scalar glueball's mass are in good
agreement with the observed properties of $f_J(1710)$ and inconsistent
with all other observed meson resonances.
-
THE SCALAR GLUEBALL FROM A TADPOLE IMPROVED ACTION.
By Colin Morningstar, Mike Peardon (Edinburgh U.). Jul 1995. 4pp. Talk
given at International Symposium on Lattice Field Theory, Melbourne, Australia,
11-15 Jul 1995. Published in Lattice 1995:0258-261 (QCD161:I715:1995).
e-Print Archive: hep-lat/9509069
The scalar glueball mass and the string tension are computed
in lattice SU(3) gauge theory with the aim of establishing the effectiveness
of the improved action approach in removing finite-spacing artifacts.
-
GLUEBALL SPECTROSCOPY ON S**3.
Bas van den Heuvel (Leiden U.). INLO-PUB-10-95, Sep 1995. 11pp.
Published in Phys.Lett.B368:124-130,1996 e-Print Archive: hep-lat/9509019
For SU(2) gauge theory on the three-sphere we implement
the influence of the boundary of the fundamental domain, and in particular
the $\theta$-dependence, on a subspace of low-energy modes of the gauge
field. We construct a basis of functions that respect these boundary conditions
and use these in a variational approximation of the spectrum of the lowest
order effective hamiltonian.
-
GLUEBALL SPECTRA OF SU(2) GAUGE THEORIES IN 3 AND 4 DIMENSIONS: A COMPARISON
WITH THE ISGUR-PATON FLUX TUBE MODEL.
T. Moretto (Nordita), M. Teper (Oxford U.). NORDITA-93-77-P-N, (Received
Dec 1993). 12pp. e-Print Archive: hep-lat/9312035
We use the results of recent lattice calculations to obtain
(part of) the mass spectrum of continuum SU(2) gauge theory in both 2+1
and 3+1 dimensions. We compare these spectra to the predictions of the
Isgur-Paton flux tube model for glueballs. We use this comparison to test
the reliability of different aspects of the model and also to learn which
aspects of the lattice calculations it is important to improve upon.
-
GLUEBALL MASS PREDICTIONS OF THE VALENCE APPROXIMATION TO LATTICE QCD.
H. Chen, J. Sexton, A. Vaccarino, D. Weingarten (IBM Watson Res.
Ctr.). PRINT-93-0615 (IBM), (Received Sep 1993). 29pp. e-Print Archive:
hep-lat/9308010
We evaluate the infinite volume, continuum limit of glueball
masses in the valence (quenched) approximation to lattice QCD. For the
lightest states with $J^{PC}$ of $0^{++}$ and $2^{++}$, we obtain $m_0
= 1340 \pm 160$ MeV and $m_2 = 1900 \pm 320$ MeV.
-
GLUEBALL - LIKE SCREENING MASSES IN PURE SU(3) AT FINITE TEMPERATURES.
B. Grossman (HLRZ, Julich), Sourendu Gupta (HLRZ, Julich & Tata
Inst.), U.M. Heller (Florida State U., SCRI), F. Karsch (HLRZ, Julich &
Bielefeld U. & Santa Barbara, ITP). FSU-SCRI-93-106, Sep 1993. 19pp.
Published in Nucl.Phys.B417:289-306,1994 e-Print Archive: hep-lat/9309007
We investigate the finite-temperature excitation spectrum
in the gluon sector of $SU(3)$ pure gauge theory through measurements of
screening masses in correlations of loop operators. We develop the classification
of such operators under the symmetry group of the `$z$-slice'. In the confined
phase of the theory, we find that the spectrum dynamically realises the
zero temperature symmetries. We observe a large thermal shift of the $0^{++}$
glueball mass. In the deconfined phase, the spectrum distinguishes between
operators coupling to electrically and magnetically polarised gluon fields.
The former yields a screening mass equal to the Wilson-line screening mass;
the latter, a method for the measurement of the magnetic mass in the high-temperature
limit.
-
GLUEBALL AND MESON DISPERSION RELATIONS IN COMPACT U(1)-2+1 LATTICE
GAUGE THEORY.
A.M. Chaara, H. Kroger (Laval U.), K.J.M. Moriarty (Dalhousie U.),
J. Potvin (St. Louis U., Cahokia). LAVAL-PHY-12-92, Mar 1992. 46pp. Published
in Int.J.Mod.Phys.C4:919-945,1993
-
LATTICE CALCULATION OF GLUEBALL MATRIX ELEMENTS.
Y. Liang, K.F. Liu, B.A. Li, S.J. Dong (Kentucky U.), K. Ishikawa
(Hokkaido U.). UK-92-05, Dec 1992. 12pp. Published in Phys.Lett.B307:375-382,1993
e-Print Archive: hep-lat/9304011
Matrix elements of the form $ <0| Tr \; g^{2}GG |G> $
are calculated using the lattice QCD Monte Carlo method. Here, $|G>$ is
a glueball state with quantum numbers $ 0^{++}$, $ 2^{++}$, $ 0^{-+}$ and
$G$ is the gluon field strength operator. The matrix elements are obtained
from the hybrid correlation functions of the fuzzy and plaquette operators
performed on the $12^{4}$ and $14^{4}$ lattices at $\beta = 5.9 $ and $5.96$
respectively. These matrix elements are compared with those from the QCD
sum rules and the tensor meson dominance model. They are the non-perturbative
matrix elements needed in the calculation of the partial widths of $J/\Psi$
radiative decays into glueballs.
-
GLUEBALL WAVE FUNCTIONS.
Philippe de Forcrand (Zurich, ETH), Keh-Fei Liu (Kentucky U.). PRINT-93-0126
(ZURICH), Nov 1992. 9pp. Published in Nucl.Phys.Proc.Suppl.30:521-524,1993
Also in Amsterdam Lattice 1992:0521-524 (QCD161:I715:1992). e-Print Archive:
hep-lat/9211054
We measure Coulomb-gauge wavefunctions of the scalar and
tensor glueballs in SU(2) Yang-Mills. The problem of contamination by flux
states is discussed, and a new analysis method described. The large size
of the tensor glueball is confirmed. Preliminary results in the deconfined
phase show no significant changesWe discuss the influence of glueball coupling
to nucleons on the weak axial-vector coupling constants including singlet
channel. We consider a possibility of introduction of constituent gluon
contribution to the proton spin. The estimated value for this quantity
seems to be rather small.
-
GLUEBALL WAVE FUNCTIONS IN LATTICE GAUGE CALCULATIONS.
Philippe de Forcrand, Keh-Fei Liu (HLRZ, Julich). HLRZ-91-57, Jun
1991. 14pp.
Published in Phys.Rev.Lett.69:245-248,1992
- Covariant Lattice Glueball Fields
J. Mandula, G. Zweig, and J. Govaerts
Nucl. Phys. B228 (1983) 109.