Abstract

We introduce a reweighting technique which allows for a continuous sampling of temperatures in a single simulation and employ it to compute the temperature dependence of the QCD topological susceptibility at high temperatures. The method determines the ratio of susceptibility between any two temperatures within the explored temperature range. We find that the results from the method agree with our previous determination and that it is competitive with but not better than existing methods of determining the temperature derivative of the susceptibility. The method may also be useful in exploring the temperature dependence of other thermodynamical observables in QCD in a continuous way.

Highlights

  • The axion solution to the strong CP problem, proposed more than four decades ago [1,2,3], solves the fine tuning problem of the smallness of the θ parameter in QCD by introducing a new light (

  • We introduce a reweighting technique which allows for a continuous sampling of temperatures in a single simulation and employ it to compute the temperature dependence of the QCD topological susceptibility χtop at high temperatures

  • We have shown that the method we propose can successfully find the β dependence of χtopa4, and the temperature dependence of the susceptibility if the line of constant physics [that is, aðβÞ] is known

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Summary

INTRODUCTION

The axion solution to the strong CP problem, proposed more than four decades ago [1,2,3], solves the fine tuning problem of the smallness of the θ parameter in QCD by introducing a new light (

TOPOLOGICAL SUSCEPTIBILITY
VL ð5Þ
TEMPERATURE REWEIGHTING
Susceptibility using reweighting
Update algorithm with WðSÞ
Choice and determination of WðSÞ
RESULTS
Procedure
DISCUSSION
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