Universality in short-time critical gluodynamics with heat-bath-inspired algorithms

TL;DR

This study uses short-time dynamics to analyze critical gluodynamics in (2+1) dimensions, comparing heat-bath-inspired algorithms and confirming universal behavior in their relaxation processes.

Contribution

It introduces a generalized class of heat-bath-inspired algorithms and benchmarks their efficiency in simulating critical gluodynamics, confirming universality in their dynamic behavior.

Findings

Measured static and dynamic critical exponents.

Algorithms exhibit universal dynamic behavior.

Results agree with universality hypothesis.

Abstract

Short-time dynamics technique is used to study the relaxation process for the (2+1)-dimensional critical gluodynamics of the SU(2) lattice gauge theory. A generalized class of heat-bath-inspired updating algorithms was employed during the short-time regime of the dynamic evolution for performance comparison. The static and dynamic critical exponents of the theory were measured, serving as a dynamic benchmark for algorithmic efficiency. Our results are in agreement with predictions from universality hypothesis and suggest that there is an underlying universal dynamics shared by the analyzed algorithms.