Free Energy of an SU(2) Model of (2+1)-dimensional QCD in the Constant Condensate Background

TL;DR

This paper calculates the free energy of a (2+1)-dimensional QCD model with a constant chromomagnetic field and A_0 condensate, exploring conditions for a stable minimum influenced by tachyonic modes.

Contribution

It introduces a detailed analysis of the thermodynamic potential in a (2+1)D QCD model with background fields, focusing on the role of tachyonic modes and condensate configurations.

Findings

Identification of conditions for free energy minima at nonzero condensates

Discussion of tachyonic mode effects on the energy spectrum

Insights into the stability of the QCD vacuum in reduced dimensions

Abstract

Gluon and quark contributions to the thermodynamic potential (free energy) of a (2+1)-dimensional QCD model at finite temperature in the background of a constant homogeneous chromomagnetic field H combined with A_0 condensate are calculated. The role of the tachyonic mode in the gluon energy spectrum is discussed. A possibility of the free energy global minimum generation at nonzero values of H and A_0 condensates is investigated.