Susceptibility of Monte-Carlo Generated Projected Vortices

TL;DR

This paper shows that the topological susceptibility of the SU(2) Yang-Mills vacuum can be effectively extracted from center projected vortices, with results comparable to full configurations, after removing ultraviolet noise.

Contribution

It introduces methods to determine topological susceptibility from vortex content and demonstrates their effectiveness in SU(2) Yang-Mills theory.

Findings

Topological susceptibility can be derived from vortex structures.

Smoothing procedures effectively eliminate ultraviolet fluctuations.

Results are consistent with those from full field configurations.

Abstract

We determine the topological susceptibility from center projected vortices and demonstrate that the topological properties of the SU(2) Yang-Mills vacuum can be extracted from the vortex content. We eliminate spurious ultraviolet fluctuations by two different smoothing procedures. The extracted susceptibility is comparable to that obtained from full field configurations.