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

Korthals Altes, Christiaan P.; Nishimura, Hiromichi; Pisarski, Robert D.; Skokov, Vladimir V.

doi:10.1016/j.physletb.2020.135336

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: $F^{(3 : c . g .)} \neq 0$ 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:

Korthals Altes, Christiaan P.;

; Pisarski, Robert D.; Skokov, Vladimir V.

Publication Date:: 2020-02-26

Research Org.:: Brookhaven National Laboratory (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.  doi:10.1016/j.physletb.2020.135336.

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                    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

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                    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.

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@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}

}

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