Comparison among HB-inspired algorithms for continuous-spin systems and gauge fields

TL;DR

This paper introduces a novel local algorithm combining heat-bath and micro-canonical updates for simulating continuous-spin systems and gauge fields, demonstrating improved performance over standard methods.

Contribution

A new ergodic algorithm that unifies heat-bath and micro-canonical updates for efficient thermalization in spin models and gauge theories.

Findings

Improved thermalization efficiency in 1D 4-vector spin model

Comparable or better performance than standard HB algorithms

Versatile application to SU(N) lattice gauge theories

Abstract

We propose a new local algorithm for the thermalization of n-vector spin models, which can also be used in the numerical simulation of SU(N) lattice gauge theories. The algorithm combines heat-bath (HB) and micro-canonical updates in a single step -- as opposed to the hybrid overrelaxation method, which alternates between the two kinds of update steps -- while preserving ergodicity. We test our proposed algorithm in the case of the one-dimensional 4-vector spin model and compare its performance with the standard HB algorithm and with other HB-inspired algorithms.