Direct numerical computation of disorder parameters

TL;DR

This paper introduces an efficient numerical method to compute disorder parameters, which are crucial for understanding phenomena like color confinement, and applies it to study dual superconductivity in 4d compact U(1) gauge theory.

Contribution

The paper presents a novel computational approach for disorder parameters, enabling more accurate and feasible analysis in complex statistical models and gauge theories.

Findings

Successful application to 4d compact U(1) gauge theory

Enhanced numerical efficiency in computing disorder parameters

Insights into dual superconductivity mechanisms

Abstract

In the framework of various statistical models as well as of mechanisms for color confinement, disorder parameters can be developed which are generally expressed as ratios of partition functions and whose numerical determination is usually challenging. We develop an efficient method for their computation and apply it to the study of dual superconductivity in 4d compact U(1) gauge theory.