Topological Susceptibility to High Temperatures via Reweighting

Abstract

We measure the topological susceptibility of quenched QCD on the lattice at two high temperatures. For this, we define topology with the help of gradient flow and mitigate the statistical problem of topology at high temperatures using a reweighting technique. This allows us to enhance tunneling events between topological sectors and alleviate topological freezing. We quote continuum extrapolated results for the susceptibility at $2.5$ and $4.1T_{\mathrm{c}}$ that agree well with the existing literature. We conclude that the method is feasible and can be extended to unquenched QCD with no conceptual problems.

Comments: 7 pages, 3 figures, Proceedings of the 36th Annual International Symposium on Lattice Field Theory, 22-28 July 2018, East Lansing, Michigan, USA