Topological susceptibility of pure gauge theory using Density of States

TL;DR

This paper applies the Density of States method to compute the topological susceptibility of SU(3) pure gauge theory at high temperatures, overcoming the challenge of rare topological configurations in lattice simulations.

Contribution

It introduces the use of the DoS method for high-temperature topological susceptibility calculations, providing results consistent with a free instanton gas model.

Findings

Susceptibility suppressed at high temperatures

Density of States method effectively samples rare topological events

Results align with instanton gas predictions

Abstract

The topological susceptibility of the SU(3) pure gauge theory is calculated in the deconfined phase at temperatures up to $10T_c$. At such large temperatures the susceptibility is suppressed, topologically non-trivial configurations are extremely rare. Thus, direct lattice simulations are not feasible. The density of states (DoS) method is designed to simulate rare events, we present an application of the DoS method to the problem of high temperature topological susceptibility. We reconstruct the histogram of the charge sectors that one could have obtained in a naive importance sampling. Our findings are perfectly consistent with a free instanton gas.