SU(2) finite temperature phase transition and Michael sum rules

TL;DR

This paper investigates the finite temperature phase transition in SU(2) gauge theory using Monte Carlo simulations, measuring flux distributions and validating generalized Michael sum rules against observed string tension behavior.

Contribution

It extends Michael sum rules to finite temperature and compares theoretical predictions with lattice simulation data for SU(2) gauge theory.

Findings

Flux distributions differ between confined and unconfined phases.

Data agrees well with the generalized Michael sum rules.

String tension behavior matches theoretical predictions.

Abstract

We studied the finite temperature phase transition of SU(2) gauge theory on four-dimensional Euclidean lattices by Monte Carlo simulations, and measured the flux distributions of a $q\bar q$ pair in both confined and unconfined phases. We reviewed and generalized Michael sum rules to include finite temperature effects. To compare our flux data with predictions of Michael sum rules, we studied the behavior of string tension with temperature. Our data agree well with the generalized sum rules.