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

Abstract

We compute the term ~ g 3 in the free energy for a S U ( 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 g 3 , 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.

Authors:
; ORCiD logo; ;
Publication Date:
Research Org.:
Brookhaven National Lab. (BNL), Upton, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP); RIKEN; Japan Society for the Promotion of Science (JSPS)
OSTI Identifier:
1601687
Alternate Identifier(s):
OSTI ID: 1616440
Report Number(s):
BNL-213869-2020-JAAM
Journal ID: ISSN 0370-2693; S0370269320301404; 135336; PII: S0370269320301404
Grant/Contract Number:  
SC0012704; SC0020081; 18H01217
Resource Type:
Published Article
Journal Name:
Physics Letters B
Additional Journal Information:
Journal Name: Physics Letters B Journal Volume: 803 Journal Issue: C; Journal ID: ISSN 0370-2693
Publisher:
Elsevier
Country of Publication:
Netherlands
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats

Korthals Altes, Christiaan P., Nishimura, Hiromichi, Pisarski, Robert D., and Skokov, Vladimir V.. Conundrum for the free energy of a holonomous gluonic plasma at cubic order. Netherlands: N. p., 2020. Web. https://doi.org/10.1016/j.physletb.2020.135336.
Korthals Altes, Christiaan P., Nishimura, Hiromichi, Pisarski, Robert D., & Skokov, Vladimir V.. Conundrum for the free energy of a holonomous gluonic plasma at cubic order. Netherlands. https://doi.org/10.1016/j.physletb.2020.135336
Korthals Altes, Christiaan P., Nishimura, Hiromichi, Pisarski, Robert D., and Skokov, Vladimir V.. Wed . "Conundrum for the free energy of a holonomous gluonic plasma at cubic order". Netherlands. https://doi.org/10.1016/j.physletb.2020.135336.
@article{osti_1601687,
title = {Conundrum for the free energy of a holonomous gluonic plasma at cubic order},
author = {Korthals Altes, Christiaan P. and Nishimura, Hiromichi and Pisarski, Robert D. and Skokov, Vladimir V.},
abstractNote = {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.},
doi = {10.1016/j.physletb.2020.135336},
journal = {Physics Letters B},
number = C,
volume = 803,
place = {Netherlands},
year = {2020},
month = {2}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1016/j.physletb.2020.135336

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Cited by: 1 work
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Works referenced in this record:

Quantum chromodynamics at high temperature
journal, February 1979


Three-loop free energy for pure gauge QCD
journal, December 1994


Chemical potential for SU(N)-infrared problem
journal, April 1984


Constrained effective potential in hot QCD
journal, June 1994


Polyakov loop modeling for hot QCD
journal, September 2017


High temperature gluon matter in the background gauge
journal, June 1988

  • Elze, H. -Th.; Heinz, U.; Kajantie, K.
  • Zeitschrift für Physik C Particles and Fields, Vol. 37, Issue 2
  • DOI: 10.1007/BF01579916

New phases of S U ( 3 ) and S U ( 4 ) at finite temperature
journal, June 2008


Interface tension in an SU( N ) gauge theory at high temperature
journal, February 1991

  • Bhattacharya, Tanmoy; Gocksch, Andreas; Altes, Chris Korthals
  • Physical Review Letters, Vol. 66, Issue 8
  • DOI: 10.1103/PhysRevLett.66.998

Center-stabilized Yang-Mills theory: Confinement and large N volume independence
journal, September 2008


Order parameter and effective potential
journal, January 1991


Free energy of hot gauge theories with fermions through g 5
journal, December 1995


Two-loop perturbative corrections to the thermal effective potential in gluodynamics
journal, January 2014


Hot gluon matter in a constantA 0 background
journal, June 1990

  • Enqvist, K.; Kajantie, K.
  • Zeitschrift f�r Physik C Particles and Fields, Vol. 47, Issue 2
  • DOI: 10.1007/BF01552353

QCD and instantons at finite temperature
journal, January 1981

  • Gross, David J.; Pisarski, Robert D.; Yaffe, Laurence G.
  • Reviews of Modern Physics, Vol. 53, Issue 1
  • DOI: 10.1103/RevModPhys.53.43

Spatial 't Hooft loop to cubic order in hot QCD II
journal, August 2005


Spatial 't Hooft loop to cubic order in hot QCD
journal, August 2005


How wide is the transition to deconfinement?
journal, February 2011


The next term in the thermodynamic potential of QCD
journal, May 1983


Z(N) interface tension in a hot SU(N) gauge theory
journal, September 1992


Pressure of hot QCD up to g 6 ln ( 1 / g )
journal, May 2003


Nielsen’s identity and gluon condensation at finite temperature
journal, July 1994


Effective potential for the order parameter of gauge theories at finite temperature
journal, July 1981


Superdense Matter: Neutrons or Asymptotically Free Quarks?
journal, May 1975


Two-loop free energy for finite temperatureSU(3) gauge theory in a constant external field
journal, September 1990

  • Belyaev, V. M.; Eletsky, V. L.
  • Zeitschrift f�r Physik C Particles and Fields, Vol. 45, Issue 3
  • DOI: 10.1007/BF01549664