New methods to measure phase transition strength

TL;DR

This paper generalizes a method for measuring phase transition strength by analyzing partition function zeroes, accommodating degenerate zeroes and complex plane distributions, demonstrated on free Wilson fermions.

Contribution

It extends existing techniques to handle degenerate zeroes and non-line distributions in the complex plane, broadening applicability for phase transition analysis.

Findings

Successfully applied to free Wilson fermions

Handles degenerate zeroes in partition function analysis

Adapts to non-linear distributions of zeroes

Abstract

A recently developed technique to determine the order and strength of phase transitions by extracting the density of partition function zeroes (a continuous function) from finite-size systems (a discrete data set) is generalized to systems for which (i) some or all of the zeroes occur in degenerate sets and/or (ii) they are not confined to a singular line in the complex plane. The technique is demonstrated by application to the case of free Wilson fermions.