Dynamical Gauge Theory for the XY Gauge Glass Model

TL;DR

This paper explores the dynamical behavior of the XY gauge glass model using gauge transformations, deriving exact relations among various dynamical quantities and discussing phase properties and transitions.

Contribution

It introduces a gauge transformation method to analyze the dynamics of the XY gauge glass model, providing new exact relations and insights into phase behavior.

Findings

Derived exact relations among auto-correlation and relaxation functions.

Identified physical properties in different phases including SG, mixed, and Griffiths phases.

Argued against the re-entrant transition in higher dimensions.

Abstract

Dynamical systems of the gauge glass are investigated by the method of the gauge transformation.Both stochastic and deterministic dynamics are treated. Several exact relations are derived among dynamical quantities such as equilibrium and nonequilibrium auto-correlation functions, relaxation functions of order parameter and internal energy. They provide physical properties in terms of dynamics in the SG phase, a possible mixed phase and the Griffiths phase, the multicritical dynamics and the aging phenomenon. We also have a plausible argument for the absence of re-entrant transition in two or higher dimensions.