Topological susceptibility at $$T>T_{\mathrm{c}}$$ T>Tc from master-field simulations of the SU(3) gauge theory

Abstract

Abstract The topological susceptibility is computed in the $$\mathrm{SU(3)}$$ SU(3) gauge theory at temperatures T above the critical temperature $$T_{\mathrm{c}}$$ Tc using master-field simulations of very large lattices, where the infamous topology-freezing issue is effectively bypassed. Up to $$T=2.0\,T_{\mathrm{c}}$$ T=2.0Tc no unusually large lattice effects are observed and the results obtained in the continuum limit confirm the expected rapid decay of the susceptibility with increasing temperature. As a byproduct, the reference gradient-flow time $$t_0$$ t0 is determined in the range of lattice spacings from 0.023 to $$0.1\,\mathrm{fm}$$ 0.1fm with a precision of 2 per mille.