Numerical study of Yang-Mills classical solutions on the twisted torus

TL;DR

This paper employs lattice cooling techniques to explore the structure of classical SU(2) Yang-Mills solutions on a 3-torus with twisted boundary conditions, providing insights into their properties.

Contribution

It introduces a numerical approach to study classical Yang-Mills solutions with twisted boundary conditions on a lattice.

Findings

Identification of specific classical solutions on the twisted torus

Insights into the structure of gauge-fixed Yang-Mills configurations

Potential implications for understanding non-perturbative phenomena

Abstract

We use the lattice cooling method to investigate the structure of some gauge fixed SU(2) Yang-Mills classical solutions of the euclidean equations of motion which are defined in the 3-torus with symmetric twisted boundary conditions.