Effective models of a semi-quark gluon plasma

Abstract

In the deconfined regime of a non-Abelian gauge theory at nonzero temperature, previously it was argued that if a (gauge invariant) source is added to generate nonzero holonomy, that this source must be linear for small holonomy. The simplest example of this is the second Bernoulli polynomial. However, then there is a conundrum in computing the free energy to $\sim g^3$ in the coupling constant $g$, as part of the free energy is discontinuous as the holonomy vanishes. In this paper we investigate two ways of generating the second Bernoulli polynomial dynamically: as a mass derivative of an auxiliary field, and from two dimensional ghosts embedded isotropically in four dimensions. Computing the holonomous hard thermal loop (HHTL) in the gluon self-energy, we find that the limit of small holonomy is only well behaved for two dimensional ghosts, with a free energy which to $\sim g^3$ is continuous as the holonomy vanishes.

33 pages, 1 figure

References in corpus (12)

• SU(N) gauge theories at large N
• Center-stabilized Yang-Mills theory: confinement and large $N$ volume independence
• Effective Theory of Wilson Lines and Deconfinement
• Production and Elliptic Flow of Dileptons and Photons in the semi-Quark Gluon Plasma
• Equation of State for SU(3) Gauge Theory via the Energy-Momentum Tensor under Gradient Flow
• How Wide is the Transition to Deconfinement?
• Suppression of the Shear Viscosity in a "semi" Quark Gluon Plasma
• Continuum Thermodynamics of the GluoN_c Plasma
• Zero Point Energy of Renormalized Wilson Loops
• Matrix Models for Deconfinement and Their Perturbative Corrections
• Resummed Gluon Propagator and Debye Screening Effect in a Holonomous Plasma
• Confinement on $R^3\times S^1$: continuum and lattice

Cited by in corpus (1)

• Wilson loops in the Hamiltonian formalism