Finite-size scaling and deconfinement transition in gauge theories

TL;DR

This paper introduces a novel finite-size scaling method to accurately determine critical indices of deconfinement transitions in gauge theories, confirming theoretical predictions for SU(3) and providing preliminary results for SU(2).

Contribution

It presents a new approach using simple lattice operators for finite-size scaling analysis to determine critical indices in gauge theories.

Findings

Accurate determination of the critical index ν for SU(3) in (2+1) dimensions.

Results agree with the Svetitsky-Yaffe conjecture.

Preliminary results for SU(2) in (3+1) dimensions are provided.

Abstract

A new method is proposed for determining the critical indices of the deconfinement transition in gauge theories, based on the finite-size scaling analysis of simple lattice operators, such as the plaquette. A precise determination of the critical index $\nu$, in agreement with the prediction of the Svetitsky-Yaffe conjecture, is obtained for SU(3) gauge theory in (2+1)-dimension. Preliminary results for SU(2) in (3+1)-dimension are also given.