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Color Confinement in Coulomb Gauge QCD

2005/12/28 by A. Nakamura, T. Saito · 2 citations
Physics and Astronomy · #Color confinement #Coulomb #Deconfinement #Gauge fixing #Gluon #High-Energy Particle Collisions Research #Lorenz gauge condition #Propagator #Quantum Chromodynamics and Particle Interactions #Quantum and Classical Electrodynamics #Quantum chromodynamics #Quark #Wilson loop #hep-lat #hep-ph

paper · pdf · doi:10.1143/ptp.115.189

published as Prog.Theor.Phys.115:189-200,2006

arxiv created 2005/12/28 · openalex publication_date 2006/01/01 · arxiv updated 2014/11/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We study the long-range behavior of the heavy quark potential in Coulomb gauge using a quenched SU(3) lattice gauge simulation with partial-length Polyakov line correlators. We show that the Coulomb heavy quark potential associated with the instantaneous part of gluon propagators in Coulomb gauge, presents a linearly rising behavior at large distances, and the resulting Coulomb string tension is greater than the Wilson loop string tension, which can be explained by Zwanziger's inequality. The linearly rising behavior of the Coulomb heavy quark potential persists even in the deconfinement phase. The heavy quark potential in Lorentz gauge shows completely different behavior than that in Coulomb gauge. Our SU(3) result, i.e., the Coulomb heavy quark potential is confining, qualitatively agrees with that of the SU(2) analysis carried out by Greensite, Olejnik and Zwanziger.

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