SU(2) Flux Distributions on Finite Lattices

TL;DR

This paper investigates SU(2) flux distributions on four-dimensional lattices, revealing finite volume effects on string tension and evidence of intrinsic string formation in large volumes, depending on temperature and volume size.

Contribution

It provides new insights into how finite volume and temperature influence string formation and flux distributions in SU(2) lattice gauge theory.

Findings

No intrinsic string formation for beta > beta_crit in intermediate volumes.

Finite volume effects cause observed string tension in this region.

Evidence of intrinsic string formation in large volume regimes.

Abstract

We studied SU(2) flux distributions on four dimensional euclidean lattices with one dimension very large. By choosing the time direction appropriately we can study physics in two cases: one is finite volume in the zero temperature limit, another is finite temperature in the the intermediate to large volume limit. We found that for cases of beta > beta crit there is no intrinsic string formation. Our lattices with beta > beta crit belong to intermediate volume region, and the string tension in this region is due to finite volume effects. In large volumes we found evidence for intrinsic string formation.