Investigating Yang-Mills theory and Confinement as a function of the spatial volume

TL;DR

This paper explores how electric flux energies in SU(2) gauge theory vary with spatial volume, suggesting confinement may be linked to non-dilute multi-instanton configurations based on their volume-dependent behavior.

Contribution

It provides a detailed analysis of volume dependence in SU(2) gauge theory and proposes a novel confinement mechanism involving non-dilute multi-instantons.

Findings

Electric flux energies interpolate between perturbative and confinement regimes.

Confinement may be caused by non-dilute multi-instanton configurations.

Results support a volume-dependent transition in gauge theory behavior.

Abstract

We study the volume dependence of electric flux energies for SU(2) gauge theory with twisted boundary conditions. The curves interpolate smoothly between the perturbative semiclassicalresults and the Confinement regime. On the basis of our results, we propose that the Confinement property might be caused by a class of non-dilute multi-instanton configurations.