Confinement and center vortices in Coulomb gauge: Analytic and numerical results

Jeff Greensite; Stefan Olejník; Daniel Zwanziger

doi:10.1016/j.nuclphysbps.2004.12.026

Confinement and center vortices in Coulomb gauge: Analytic and numerical results

Jeff Greensite, Stefan Olejník, Daniel Zwanziger

Research output: Contribution to journal › Article › peer-review

Abstract

We review the confinement scenario in Coulomb gauge. We show that when thin center vortex configurations are gauge transformed to Coulomb gauge, they lie on the common boundary of the fundamental modular region and the Gribov region. This unifies elements of the Gribov confinement scenario in Coulomb gauge and the center-vortex confinement scenario. We report on recent numerical studies which support both of these scenarios.

Original language	English (US)
Pages (from-to)	170-176
Number of pages	7
Journal	Nuclear Physics B - Proceedings Supplements
Volume	141
Issue number	SPEC. ISS.
DOIs	https://doi.org/10.1016/j.nuclphysbps.2004.12.026
State	Published - Apr 2005

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics
Nuclear and High Energy Physics

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title = "Confinement and center vortices in Coulomb gauge: Analytic and numerical results",

abstract = "We review the confinement scenario in Coulomb gauge. We show that when thin center vortex configurations are gauge transformed to Coulomb gauge, they lie on the common boundary of the fundamental modular region and the Gribov region. This unifies elements of the Gribov confinement scenario in Coulomb gauge and the center-vortex confinement scenario. We report on recent numerical studies which support both of these scenarios.",

author = "Jeff Greensite and Stefan Olejn{\'i}k and Daniel Zwanziger",

note = "Funding Information: ∗Talk given by D. Zwanziger at QCD Down Under, Adelaide, Australia, March 10–19, 2004. Research is supported in part by the U.S. Department of Energy under Grant No. DE-FG03-92ER40711 (J.G.), the Slovak Grant Agency for Science, Grant No. 2/3106/2003 (Sˇ.O.), and the National Science Foundation, Grant No. PHY-0099393 (D.Z.).",

year = "2005",

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doi = "10.1016/j.nuclphysbps.2004.12.026",

language = "English (US)",

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T1 - Confinement and center vortices in Coulomb gauge

T2 - Analytic and numerical results

AU - Greensite, Jeff

AU - Olejník, Stefan

AU - Zwanziger, Daniel

N1 - Funding Information: ∗Talk given by D. Zwanziger at QCD Down Under, Adelaide, Australia, March 10–19, 2004. Research is supported in part by the U.S. Department of Energy under Grant No. DE-FG03-92ER40711 (J.G.), the Slovak Grant Agency for Science, Grant No. 2/3106/2003 (Sˇ.O.), and the National Science Foundation, Grant No. PHY-0099393 (D.Z.).

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N2 - We review the confinement scenario in Coulomb gauge. We show that when thin center vortex configurations are gauge transformed to Coulomb gauge, they lie on the common boundary of the fundamental modular region and the Gribov region. This unifies elements of the Gribov confinement scenario in Coulomb gauge and the center-vortex confinement scenario. We report on recent numerical studies which support both of these scenarios.

AB - We review the confinement scenario in Coulomb gauge. We show that when thin center vortex configurations are gauge transformed to Coulomb gauge, they lie on the common boundary of the fundamental modular region and the Gribov region. This unifies elements of the Gribov confinement scenario in Coulomb gauge and the center-vortex confinement scenario. We report on recent numerical studies which support both of these scenarios.

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