# Monopoles at Finite Volume and Temperature in SU(2) Lattice Gauge Theory

## TL;DR

This paper resolves a discrepancy in SU(2) lattice gauge theory by including a previously omitted term, showing monopoles accurately reproduce the spatial string tension at finite temperature.

## Contribution

It corrects prior monopole calculations by accounting for Dirac sheet contributions, aligning monopole and full gauge theory results.

## Key findings

- Monopole and full SU(2) string tensions agree within errors
- Omission of Dirac sheet term caused previous discrepancies
- Including the term resolves the monopole measurement issue

## Abstract

We resolve a discrepancy between the SU(2) spacial string tension at finite temperature, and the value obtained by monopoles in the maximum Abelian gauge. Previous work had incorrectly omitted a term due to Dirac sheets. When this term is included, the monopole and full SU(2) determinations of the spacial string tension agree to within the statistical errors of the monopole calculation.