Coulomb gauge Gribov copies and the confining potential
Title: | Coulomb gauge Gribov copies and the confining potential |
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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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Items | – Name: Title Label: Title Group: Ti Data: Coulomb gauge Gribov copies and the confining potential – Name: Author Label: Authors Group: Au 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> – Name: TitleSource Label: Source Group: Src Data: Phys.Rev.D76:114510,2007 – Name: DatePubCY Label: Publication Year Group: Date Data: 2007 – Name: Subset Label: Collection Group: HoldingsInfo Data: High Energy Physics - Lattice<br />High Energy Physics - Phenomenology<br />High Energy Physics - Theory – Name: Subject Label: Subject Terms Group: Su Data: <searchLink fieldCode="DE" term="%22High+Energy+Physics+-+Lattice%22">High Energy Physics - Lattice</searchLink><br /><searchLink fieldCode="DE" term="%22High+Energy+Physics+-+Phenomenology%22">High Energy Physics - Phenomenology</searchLink><br /><searchLink fieldCode="DE" term="%22High+Energy+Physics+-+Theory%22">High Energy Physics - Theory</searchLink> – Name: Abstract Label: Description Group: Ab 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 – Name: TypeDocument Label: Document Type Group: TypDoc Data: Working Paper – Name: DOI Label: DOI Group: ID Data: 10.1103/PhysRevD.76.114510 – Name: URL Label: Access URL Group: URL Data: <link linkTarget="URL" linkTerm="http://arxiv.org/abs/0705.2718" linkWindow="_blank">http://arxiv.org/abs/0705.2718</link> – Name: AN Label: Accession Number Group: ID Data: edsarx.0705.2718 |
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RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1103/PhysRevD.76.114510 Subjects: – SubjectFull: High Energy Physics - Lattice Type: general – SubjectFull: High Energy Physics - Phenomenology Type: general – SubjectFull: High Energy Physics - Theory Type: general Titles: – TitleFull: Coulomb gauge Gribov copies and the confining potential Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Heinzl, Tom – PersonEntity: Name: NameFull: Langfeld, Kurt – PersonEntity: Name: NameFull: Lavelle, Martin – PersonEntity: Name: NameFull: McMullan, David IsPartOfRelationships: – BibEntity: Dates: – D: 18 M: 05 Type: published Y: 2007 |
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