Coulomb gauge Gribov copies and the confining potential

Bibliographic Details
Title: Coulomb gauge Gribov copies and the confining potential
Authors: Heinzl, Tom, Langfeld, Kurt, Lavelle, Martin, McMullan, David
Source: Phys.Rev.D76:114510,2007
Publication Year: 2007
Collection: High Energy Physics - Lattice
High Energy Physics - Phenomenology
High Energy Physics - Theory
Subject Terms: High Energy Physics - Lattice, High Energy Physics - Phenomenology, High Energy Physics - Theory
More Details: We 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.
Comment: 22 pages, 9 figures, v2: minor changes, references added
Document Type: Working Paper
DOI: 10.1103/PhysRevD.76.114510
Access URL: http://arxiv.org/abs/0705.2718
Accession Number: edsarx.0705.2718
Database: arXiv
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  Data: Coulomb gauge Gribov copies and the confining potential
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  Data: <searchLink fieldCode="AR" term="%22Heinzl%2C+Tom%22">Heinzl, Tom</searchLink><br /><searchLink fieldCode="AR" term="%22Langfeld%2C+Kurt%22">Langfeld, Kurt</searchLink><br /><searchLink fieldCode="AR" term="%22Lavelle%2C+Martin%22">Lavelle, Martin</searchLink><br /><searchLink fieldCode="AR" term="%22McMullan%2C+David%22">McMullan, David</searchLink>
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  Data: Phys.Rev.D76:114510,2007
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  Data: High Energy Physics - Lattice<br />High Energy Physics - Phenomenology<br />High Energy Physics - Theory
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  Data: We 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.<br />Comment: 22 pages, 9 figures, v2: minor changes, references added
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