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

Journal Article · · Physics Letters. B

We compute the term ~ g 3 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 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.

Research Organization:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Nuclear Physics (NP); RIKEN; Japan Society for the Promotion of Science (JSPS)
Grant/Contract Number:
SC0012704; 18H01217; SC0020081
OSTI ID:
1601687
Alternate ID(s):
OSTI ID: 1616440
Report Number(s):
BNL-213869-2020-JAAM; TRN: US2106451
Journal Information:
Physics Letters. B, Vol. 803, Issue C; ISSN 0370-2693
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English

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