Study of an Abelinization Transition in SU(2) Gluodynamics at Finite Temperature

TL;DR

This paper investigates the phase transition in SU(2) gluodynamics at finite temperature, proposing a non-perturbative approach to describe the confinement transition beyond Gaussian approximations.

Contribution

It introduces a non-perturbative method for analyzing the phase transition in SU(2) gluodynamics, emphasizing the infrared sector's role and moving beyond Gaussian functional integral evaluations.

Findings

Analytic descriptions require non-Gaussian methods

Infrared sector shares confinement characteristics with the full theory

Proposed non-perturbative evaluation for functional integrals

Abstract

We discuss the problem of an effective descriptions of the phase transition phenomena in the pure gluodynamics in SU(2) symmetric QCD. We choose the method of calculation following the conjecture that the infrared sector of the theory possesses the same confinement characteristic as the full theory. We show, that analytic descriptions of this phenomena is beyond the Gaussian method of evaluations of functional integrals. We propose a non-perturbative evaluation of functional integral, meanwhile for two dimensional Wiener integral for $\phi^4$ theory.