Non-perturbative Approach to Critical Dynamics

TL;DR

This paper applies non-perturbative renormalization group techniques to Model A for critical dynamics, providing new insights and pedagogical introduction, with results aligning closely with existing methods.

Contribution

It is the first to study Model A's critical dynamics using NPRG, offering both methodological insights and quantitative results.

Findings

Dynamical exponent z computed in d=3 and d=2

Results agree with other theoretical approaches

Provides pedagogical introduction to NPRG for dynamical systems

Abstract

This paper is devoted to a non-perturbative renormalization group (NPRG) analysis of Model A, which stands as a paradigm for the study of critical dynamics. The NPRG formalism has appeared as a valuable theoretical tool to investigate non-equilibrium critical phenomena, yet the simplest -- and nontrivial -- models for critical dynamics have never been studied using NPRG techniques. In this paper we focus on Model A taking this opportunity to provide a pedagological introduction to NPRG methods for dynamical problems in statistical physics. The dynamical exponent $z$ is computed in $d=3$ and $d=2$ and is found in close agreement with results from other methods.