# Classical solutions in lattice gauge theories

## TL;DR

This paper identifies classical solutions in lattice gauge theories, including abelian and non-abelian Dirac sheets, and discusses their potential use in calculating various gauge observables.

## Contribution

It introduces classical solutions like Dirac sheets in lattice gauge theories and explores their applications in observable calculations.

## Key findings

- Existence of abelian and non-abelian Dirac sheet solutions.
- Potential applications to gauge observable calculations.
- Discussion of classical solutions in lattice gauge contexts.

## Abstract

The solutions of the classical equations of motion on a periodic lattice are found which correspond to abelian single and double Dirac sheets. These solutions exist also in non--abelian theories. Possible applications of these solutions to the calculation of gauge dependent and gauge invariant observables are discussed.