A global optimization method for Landau gauge fixing in Lattice QCD

TL;DR

This paper introduces a hybrid global optimization algorithm combining evolutionary strategies with steepest descent to effectively fix the Landau gauge in lattice QCD, addressing nonperturbative gauge fixing challenges.

Contribution

It presents a novel combined algorithm for Landau gauge fixing in lattice QCD, improving the ability to find minimal gauge configurations.

Findings

Successful application on $8^4$ and $16^4$ lattices

Demonstrates improved gauge fixing performance

Addresses nonperturbative gauge fixing challenges

Abstract

An algorithm for gauge fixing to the minimal Landau gauge in lattice QCD is described. The method, a combination of an evolutionary algorithm with a steepest descent method, is able to solve the problem of the nonperturbative gauge fixing. The performance of the combined algorithm is investigated on $8^4$, $\beta = 5.7$, and $16^4$, $\beta = 6.0$, lattice SU(3) gauge configurations.