Free energy of a holonomous plasma
Abstract
At a nonzero temperature T , a constant field A_{¯ 0}∼T /g generates nontrivial eigenvalues of the thermal Wilson line. We discuss contributions to the free energy of such a holonomous plasma when the coupling constant, g , is weak. We review the computation to ∼g^{2} by several alternate methods, and show that gauge invariant sources, which are nonlinear in the gauge potential A_{0}, generate novel contributions to the gluon selfenergy at ∼g^{2}. These ensure the gluon selfenergy remains transverse to ∼g^{2}, and are essential in computing contributions to the free energy at ∼g^{3} for small holonomy, A_{¯ 0}∼T . We show that the contribution ∼g^{3} from offdiagonal gluons is discontinuous as the holonomy vanishes. The contribution from diagonal gluons is continuous as the holonomy vanishes, but sharply constrains the possible sources which generate nonzero holonomy, and must involve an infinite number of Polyakov loops.
 Publication:

Physical Review D
 Pub Date:
 May 2020
 DOI:
 10.1103/PhysRevD.101.094025
 arXiv:
 arXiv:2002.00968
 Bibcode:
 2020PhRvD.101i4025K
 Keywords:

 High Energy Physics  Phenomenology;
 High Energy Physics  Lattice;
 Nuclear Theory
 EPrint:
 32 pages, 2 figures