Finite-size scaling and the deconfinement transition in gauge theories

TL;DR

This paper presents a novel finite size scaling method to accurately determine critical indices of the deconfinement transition in gauge theories, validated on SU(3) pure gauge theory in (2+1) dimensions.

Contribution

The paper introduces a new finite size scaling approach using lattice operators to determine critical indices in gauge theories, confirmed by SU(3) (2+1)D results.

Findings

Precise determination of the critical index ν.

Agreement with Svetitsky-Yaffe conjecture.

Method applicable to other gauge theories.

Abstract

We introduce a new method for determining the critical indices of the deconfinement transition in gauge theories. The method is based on the finite size scaling behavior of the expectation value of simple lattice operators, such as the plaquette. We test the method for the case of SU(3) pure gauge theory in (2+1) dimensions and obtain a precise determination of the critical index $\nu$, in agreement with the prediction of the Svetitsky-Yaffe conjecture.