${\chi }_{\text{top}}(T\gg T_{\text{c}})$ in pure-glue QCD through reweighting

Abstract

We calculate the topological susceptibility at 2.5 Tc and 4.1 Tc in SU(3) pure Yang-Mills theory. We define topology with the help of gradient flow and we largely overcome the problem of poor statistics at high temperatures by applying a reweighting technique in terms of the topological charge, measured after a specific small amount of gradient flow. This allows us to obtain a sample of configurations which compares topological sectors with good statistics, with enhanced tunneling between topologies. We quote continuum extrapolated results at these two temperatures and conclude that our method is viable and can be extended without new conceptual problems to the case of full QCD with fermions.

arXiv comment11 pages including 7 figures. Replaced with the published version

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• High-Temperature QCD: theory overview
• Topological susceptibility at $T>T_{\mathrm{c}}$ from master-field simulations of the SU(3) gauge theory
• Topological susceptibility of pure gauge theory using Density of States
• The Myriad Uses of Instantons
• The semi-classical approximation at high temperature revisited
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• Topological features of the deconfinement transition
• Open-Boundary Conditions in the Deconfined Phase
• Multicanonical reweighting for the QCD topological susceptibility
• Classifying Topological Charge in SU(3) Yang-Mills Theory with Machine Learning
• Topological Susceptibility to High Temperatures via Reweighting
• Estimating ${\chi }_{\mathrm{top}}$ Lattice Artifacts from Flowed SU(2) Calorons