Abstract

The topological susceptibility of the SU(3) pure gauge theory is calculated in the deconfined phase at temperatures up to 10Tc. 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.

Highlights

  • The past decade has witnessed an immense progress in the theoretical description of the thermodynamics of strongly interacting matter through the advances in the solution strategies of the underlying theory, Quantum Chromodynamics (QCD)

  • The density of states approach does not depend on rare tunnelings and can be used at high temperatures, though at higher temperatures one has to deal with increasing thermalization and autocorrelation times

  • In this study the Density of States method is applied to the SU(3) pure gauge theory in order to calculate its topological susceptibility at high temperatures

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Summary

Introduction

The past decade has witnessed an immense progress in the theoretical description of the thermodynamics of strongly interacting matter through the advances in the solution strategies of the underlying theory, Quantum Chromodynamics (QCD). The search can be narrowed down by constraints on the axion mass, e.g by the requirement, that axions have no more contribution to the dark matter than the total observed abundance [13,14,15]. For the latter cosmological input to be effective we have to obtain information for the axion potential at the temperatures of the Early Universe, where these were produced. This strategy was pursued in the framework of lattice QCD in Ref. This strategy was pursued in the framework of lattice QCD in Ref. [16]

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