Conundrum for the free energy of a holonomous gluonic plasma at cubic order

We compute the term ∼g3 in the free energy for a SU(N) gauge theory with nonzero holonomy at nonzero temperature. If the holonomy is generated kinematically by the introduction of gauge invariant sources coupled to Polyakov loops, the contribution of charged (off-diagonal) gluons to the free energy...

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Main Authors: Christiaan P. Korthals Altes, Hiromichi Nishimura, Robert D. Pisarski, Vladimir V. Skokov
Format: Article
Language:English
Published: Elsevier 2020-04-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269320301404
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spelling doaj-104f7221cefa4f64bb6b840efe5478cc2020-11-25T03:03:26ZengElsevierPhysics Letters B0370-26932020-04-01803Conundrum for the free energy of a holonomous gluonic plasma at cubic orderChristiaan P. Korthals Altes0Hiromichi Nishimura1Robert D. Pisarski2Vladimir V. Skokov3Centre Physique Theorique, Case 907, Campus de Luminy, F-13288 Marseille, France; NIKHEF theory group, P.O. Box 41882, 1009 DB Amsterdam, the NetherlandsResearch and Education Center for Natural Sciences, Keio University, Japan; RIKEN BNL Research Center, Brookhaven National Laboratory, Upton, NY 11973, USA; Corresponding author.Department of Physics, Brookhaven National Laboratory, Upton, NY 11973, USADepartment of Physics, North Carolina State University, Raleigh, NC 27695, USA; RIKEN BNL Research Center, Brookhaven National Laboratory, Upton, NY 11973, USAWe compute the term ∼g3 in the free energy for a SU(N) gauge theory with nonzero holonomy at nonzero temperature. If the holonomy is generated kinematically by the introduction of gauge invariant sources coupled to Polyakov loops, the contribution of charged (off-diagonal) gluons to the free energy at order g3, F(3:c.g.), is singular: F(3:c.g.)≠0 without holonomy, but F(3:c.g.)=0 when the holonomy is nonzero, even infinitesimally. We show that the absence of the charged gluon contribution is required by gauge invariance alone and is therefore a universal feature.http://www.sciencedirect.com/science/article/pii/S0370269320301404
collection DOAJ
language English
format Article
sources DOAJ
author Christiaan P. Korthals Altes
Hiromichi Nishimura
Robert D. Pisarski
Vladimir V. Skokov
spellingShingle Christiaan P. Korthals Altes
Hiromichi Nishimura
Robert D. Pisarski
Vladimir V. Skokov
Conundrum for the free energy of a holonomous gluonic plasma at cubic order
Physics Letters B
author_facet Christiaan P. Korthals Altes
Hiromichi Nishimura
Robert D. Pisarski
Vladimir V. Skokov
author_sort Christiaan P. Korthals Altes
title Conundrum for the free energy of a holonomous gluonic plasma at cubic order
title_short Conundrum for the free energy of a holonomous gluonic plasma at cubic order
title_full Conundrum for the free energy of a holonomous gluonic plasma at cubic order
title_fullStr Conundrum for the free energy of a holonomous gluonic plasma at cubic order
title_full_unstemmed Conundrum for the free energy of a holonomous gluonic plasma at cubic order
title_sort conundrum for the free energy of a holonomous gluonic plasma at cubic order
publisher Elsevier
series Physics Letters B
issn 0370-2693
publishDate 2020-04-01
description We compute the term ∼g3 in the free energy for a SU(N) gauge theory with nonzero holonomy at nonzero temperature. If the holonomy is generated kinematically by the introduction of gauge invariant sources coupled to Polyakov loops, the contribution of charged (off-diagonal) gluons to the free energy at order g3, F(3:c.g.), is singular: F(3:c.g.)≠0 without holonomy, but F(3:c.g.)=0 when the holonomy is nonzero, even infinitesimally. We show that the absence of the charged gluon contribution is required by gauge invariance alone and is therefore a universal feature.
url http://www.sciencedirect.com/science/article/pii/S0370269320301404
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