Scaling Relations for Logarithmic Corrections

TL;DR

This paper uses Lee-Yang zeros to analyze and establish scaling relations for logarithmic corrections in critical phenomena, comparing these relations with existing literature results.

Contribution

It introduces a systematic Lee-Yang zero approach to derive scaling relations for logarithmic correction exponents in critical systems.

Findings

Derived new scaling relations for logarithmic correction exponents.

Validated the relations against various literature results.

Provided a framework for analyzing logarithmic corrections in critical phenomena.

Abstract

Multiplicative logarithmic corrections to scaling are frequently encountered in the critical behavior of certain statistical-mechanical systems. Here, a Lee-Yang zero approach is used to systematically analyse the exponents of such logarithms and to propose scaling relations between them. These proposed relations are then confronted with a variety of results from the literature.