The Calculation of Critical Parameters in SU(2) Gauge Theory with Kouvel-Fisher Method

TL;DR

This paper introduces a novel application of the Kouvel-Fisher method to determine critical parameters in SU(2) lattice gauge theory, enabling simultaneous estimation of critical coupling and exponent from Monte Carlo data.

Contribution

It adapts the Kouvel-Fisher method for lattice gauge theory, providing a new way to analyze critical phenomena more efficiently.

Findings

Successful calculation of critical coupling and exponent

Simultaneous determination of parameters improves analysis

Method offers an alternative to standard finite size scaling

Abstract

We calculate the critical coupling $4/g_c^2$ and critical exponent $\beta$ for the order parameter in SU(2) lattice gauge theory by applying of the finite size scaling technique and the method proposed by Kouvel and Fisher for analysis of experimental data. In contrast to the standard finite size scaling approach, this method allows to determine simultaneously both $g_c^2/4$ and $\beta$ as two parameters of the linear fit to the Monte-Carlo data.