Coulomb gauge Gribov copies and the confining potential

Simple item page
dc.creatorHeinzl, Tom
dc.creatorLangfeld, Kurt
dc.creatorLavelle, Martin
dc.creatorMcMullan, David
dc.date2007-05-18
dc.date2007-09-05
dc.date.accessioned2026-07-07T11:56:50Z
dc.date.available2026-07-07T11:56:50Z
dc.descriptionWe study the approach, initiated by Marinari et al., to the static inter-quark potential based on Polyakov lines of finite temporal extent, evaluated in Coulomb gauge. We show that, at small spatial separations, the potential can be understood as being between two separately gauge invariant colour charges. At larger separations Gribov copies obstruct the non-perturbative identification of individually gauge invariant colour states. We demonstrate, for the first time, how gauge invariance can be maintained quite generally by averaging over Gribov copies. This allows us to extend the analysis of the Polyakov lines and the corresponding, gauge invariant quark-antiquark state to all distance scales. Using large scale lattice simulations, we show that this interpolating state possesses a good overlap with the ground state in the quark-antiquark sector and yields the full static inter-quark potential at all distances. A visual representation of the Gribov copies on the lattice is also presented.
dc.description22 pages, 9 figures, v2: minor changes, references added
dc.identifierhttps://arxiv.org/abs/0705.2718
dc.identifierhttp://arxiv.org/abs/0705.2718
dc.identifierPhys.Rev.D76:114510,2007
dc.identifierdoi:10.1103/PhysRevD.76.114510
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/205674
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Theory
dc.titleCoulomb gauge Gribov copies and the confining potential
dc.typetext

Files

Collections

arXiv