CONFINING TIME-LIKE GLUON AND CONFINED SPATIAL GLUONS IN COULOMB GAUGE QCD

2008 ◽  
Vol 23 (27n30) ◽  
pp. 2352-2355 ◽  
Author(s):  
Y. NAKAGAWA ◽  
A. NAKAMURA ◽  
T. SAITO ◽  
H. TOKI
Keyword(s):  
Gluon Propagator ◽  
Infrared Region ◽  
Coulomb Gauge ◽  
Degree Of Freedom ◽  
Ghost Propagator ◽  
Equal Time ◽  
Lattice Gauge ◽  
Transverse Gluon ◽  
Infrared Limit

We investigate the Gribov-Zwanziger scenario in Coulomb gauge QCD using a SU(3) quenched lattice gauge simulation. The ghost propagator diverges in the infrared limit stronger than the free ghost propagator, and the ghost degree of freedom plays a central role in the confinement mechanism in the Coulomb gauge. The infrared divergent ghost dressing function results in the confining color-Coulomb instantaneous interaction. The equal-time transverse gluon propagator is suppressed in the infrared region. Therefore, in the Coulomb gauge, the instantaneous interaction mediated by time-like gluons is responsible for the confining force, and the would-be physical gluons are confined in hadrons.

scholarly journals INFRARED-SUPPRESSED GLUON PROPAGATOR IN 4D YANG–MILLS THEORY IN A LANDAU-LIKE GAUGE

2007 ◽  
Vol 22 (32) ◽  
pp. 2429-2438 ◽  
Author(s):  
ATTILIO CUCCHIERI ◽  
AXEL MAAS ◽  
TEREZA MENDES
Keyword(s):  
Finite Volume ◽  
Gluon Propagator ◽  
Three Dimensional ◽  
Landau Gauge ◽  
Coulomb Gauge ◽  
Dimensional Case ◽  
Gauge Parameter ◽  
Reflection Positivity ◽  
Yang Mills ◽  
Transverse Gluon

The infrared behavior of the gluon propagator is directly related to confinement in QCD. Indeed, the Gribov–Zwanziger scenario of confinement predicts an infrared vanishing (transverse) gluon propagator in Landau-like gauges, implying violation of reflection positivity and gluon confinement. Finite-volume effects make it very difficult to observe (in the minimal Landau gauge) an infrared suppressed gluon propagator in lattice simulations of the four-dimensional case. Here we report results for the SU(2) gluon propagator in a gauge that interpolates between the minimal Landau gauge (for gauge parameter λ equal to 1) and the minimal Coulomb gauge (corresponding to λ = 0). For small values of λ we find that the spatially-transverse gluon propagator D tr (0, |p|), considered as a function of the spatial momenta |p|, is clearly infrared suppressed. This result is in agreement with the Gribov–Zwanziger scenario and with previous numerical results in the minimal Coulomb gauge. We also discuss the nature of the limit λ→0 (complete Coulomb gauge) and its relation to the standard Coulomb gauge (λ = 0). Our findings are corroborated by similar results in the three-dimensional case, where the infrared suppression is observed for all considered values of λ.

scholarly journals QCD IN THE INFRARED WITH EXACT ANGULAR INTEGRATIONS

1998 ◽  
Vol 13 (13) ◽  
pp. 1055-1062 ◽  
Author(s):  
D. ATKINSON ◽  
J. C. R. BLOCH
Keyword(s):  
Fixed Point ◽  
Quantum Chromodynamics ◽  
Gluon Propagator ◽  
Simple Pole ◽  
Exact Calculation ◽  
Ghost Propagator ◽  
Infrared Behavior ◽  
Infrared Limit

In a previous paper we have shown that in quantum chromodynamics the gluon propagator vanishes in the infrared limit, while the ghost propagator is more singular than a simple pole. These results were obtained after angular averaging, but here we go beyond this approximation and perform an exact calculation of the angular integrals. The powers of the infrared behavior of the propagators are changed substantially. We find the very intriguing result that the gluon propagator vanishes in the infrared exactly like p2, whilst the ghost propagator is exactly as singular as 1/p4. We also find that the value of the infrared fixed point of the QCD coupling is much decreased: it is now equal to 4π/3.

scholarly journals The gluon propagator in Coulomb gauge from the lattice

2012 ◽  
Author(s):  
Giuseppe Burgio ◽  
Markus Quandt ◽  
Hugo Reinhardt
Keyword(s):  
Gluon Propagator ◽  
Coulomb Gauge

GAUGE INDEPENDENCE OF THE FERMION DAMPING RATE IN A HOT PLASMA - LANDAU GAUGE VS COULOMB GAUGE

1993 ◽  
Vol 08 (08) ◽  
pp. 739-748
Author(s):  
H. NAKKAGAWA ◽  
A. NIÉGAWA ◽  
B. PIRE
Keyword(s):  
Perturbation Theory ◽  
Gluon Propagator ◽  
Landau Gauge ◽  
Coulomb Gauge ◽  
Leading Order ◽  
Loop Order ◽  
Hard Thermal Loop ◽  
Hot Plasma ◽  
Damping Rate

The damping rate of a heavy muon/quark in a hot QED/QCD plasma is calculated in the Landau gauge to the effective one-loop order in the resummed perturbation theory of Braaten and Pisarski. For both a muon/quark at rest and in an energetic case we obtain to leading order the same result as in the Coulomb gauge. Resummation of hard-thermal loop corrections to the photon/gluon propagator is of key importance for this gauge independence.

scholarly journals Equal-time quark propagator in Coulomb gauge

2019 ◽  
Vol 100 (11) ◽  
Author(s):  
Davide Campagnari ◽  
Hugo Reinhardt
Keyword(s):  
Quark Propagator ◽  
Coulomb Gauge ◽  
Equal Time

scholarly journals Short strings and gluon propagator in the infrared region

2000 ◽  
Vol 83-84 ◽  
pp. 470-475
Author(s):  
M.N. Chernodub ◽  
F.V. Gubarev ◽  
M.I. Polikarpov ◽  
V.I. Zakharov
Keyword(s):  
Gluon Propagator ◽  
Infrared Region

scholarly journals The ghost propagator in Coulomb gauge

2011 ◽  
Author(s):  
P. Watson ◽  
H. Reinhardt
Keyword(s):  
Coulomb Gauge ◽  
Ghost Propagator

scholarly journals Gluon propagator and zero-momentum modes in SU(2) lattice gauge theory

1998 ◽  
Vol 433 (1-2) ◽  
pp. 88-95 ◽  
Author(s):  
G. Damm ◽  
W. Kerler ◽  
V.K. Mitrjushkin
Keyword(s):  
Gauge Theory ◽  
Gluon Propagator ◽  
Lattice Gauge Theory ◽  
Lattice Gauge ◽  
Zero Momentum
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