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Title: Lattice Results in Coulomb Gauge

Abstract

We discuss recent numerical results obtained for gluon and ghost propagators in lattice Coulomb gauge and the status of the so-called Gribov-Zwanziger confinement scenario in this gauge. Particular emphasis will be given to the eigenvalue spectrum of the Faddeev-Popov matrix.

Authors:
 [1]
  1. Instituto de Fisica de Sao Carlos, Universidade de Sao Paulo, Caixa Postal 369, 13560-970 Sao Carlos, SP (Brazil)
Publication Date:
OSTI Identifier:
21056816
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 892; Journal Issue: 1; Conference: QCHS7: 7. conference on quark confinement and the hadron spectrum, Ponta Delgada, Acores (Portugal), 2-7 Sep 2006; Other Information: DOI: 10.1063/1.2714342; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BAG MODEL; COULOMB FIELD; EIGENVALUES; GAUGE INVARIANCE; GLUONS; LATTICE FIELD THEORY; MATRICES; PROPAGATOR

Citation Formats

Cucchieri, Attilio. Lattice Results in Coulomb Gauge. United States: N. p., 2007. Web. doi:10.1063/1.2714342.
Cucchieri, Attilio. Lattice Results in Coulomb Gauge. United States. doi:10.1063/1.2714342.
Cucchieri, Attilio. Tue . "Lattice Results in Coulomb Gauge". United States. doi:10.1063/1.2714342.
@article{osti_21056816,
title = {Lattice Results in Coulomb Gauge},
author = {Cucchieri, Attilio},
abstractNote = {We discuss recent numerical results obtained for gluon and ghost propagators in lattice Coulomb gauge and the status of the so-called Gribov-Zwanziger confinement scenario in this gauge. Particular emphasis will be given to the eigenvalue spectrum of the Faddeev-Popov matrix.},
doi = {10.1063/1.2714342},
journal = {AIP Conference Proceedings},
number = 1,
volume = 892,
place = {United States},
year = {Tue Feb 27 00:00:00 EST 2007},
month = {Tue Feb 27 00:00:00 EST 2007}
}
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  • We study the heavy charge potential in the Coulomb phase of pure gauge compact U(1) theory on the lattice. We calculate the static potential V{sub W}(T,{rvec R}) from Wilson loops on a 16{sup 3}{times}32 lattice and compare with the predictions of lattice perturbation theory. We investigate finite size effects and, in particular, the importance of non-Coulomb contributions to the potential. We also comment on the existence of a maximal coupling in the Coulomb phase of pure gauge U(1) theory. {copyright} {ital 1997} {ital The American Physical Society}
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