Once More on a Colour Ferromagnetic Vacuum State at Finite Temperature

TL;DR

This paper investigates the spontaneous generation of a ferromagnetic vacuum state at high temperature in SU(2) gluodynamics, using an effective potential approach that includes one-loop and correlation corrections.

Contribution

It introduces a comprehensive analysis of vacuum magnetization at finite temperature, incorporating correlation corrections and high-temperature polarization operator calculations.

Findings

A ferromagnetic vacuum state is spontaneously generated at high temperature.

The vacuum field strength scales as (gH)^{1/2} ~ g^{4/3} T.

The vacuum stability is confirmed under the studied conditions.

Abstract

The spontaneous vacuum magnetization at finite temperature is investigated in SU(2) gluodynamics within a consistent effective potential approach including the one-loop and the correlation correction contributions. To evaluate the latter ones the high temperature limits of the polarization operators of charged and neutral gluon fields in a covariantly constant magnetic field and at high temperature are calculated.The radiation mass squared of charged gluons is found to be positive. It is shown that the ferromagnetic vacuum state having a field strength of order $(gH)^{1/2} \sim g^{4/3} T$ is spontaneously generated at high temperature. The vacuum stability and some applications of the results obtained are discussed.