Renormalisation Group Improved Thermal Coupling Constant In An External Field

TL;DR

This paper derives a temperature and external field-dependent thermal coupling constant in quantum chromodynamics using renormalisation group techniques, revealing it approaches unity under certain conditions.

Contribution

It introduces a renormalisation group approach to compute the thermal coupling constant in an external chromo-electric field at finite temperature, extending previous methods.

Findings

Coupling constant approaches unity for specific parameters.

Derived explicit expression for thermal coupling constant as a function of temperature and external field.

Applied finite temperature renormalisation group equations to gauge coupling analysis.

Abstract

Starting from renormalised Effective Lagrangian, in the presence of an external Chromo-Electric field at finite temperature, the expression for thermal coupling constant ($\alpha = (g^2)/(4 \pi)$) as a function of temperature and external field is derived, using finite temperature two parameter renormalisation group equation of Matsumoto, Nakano and Umezawa. For some values of the parameters, the coupling constant is seen to be approaching a value $\sim unity$.