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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2020-04-01
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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 |
work_keys_str_mv |
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