Topological susceptibility of pure gauge theory using Density of States

Abstract

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

10 pages, 6 figures, PLB version

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• Flow-based density of states for complex actions
• Fractional topological charge in $SU(N)$ gauge theories without dynamical quarks
• Topological features of the deconfinement transition
• Thermal behavior of effective U_A(1) anomaly couplings in reflection of higher topological sectors
• Reduced critical slowing down for statistical physics simulations
• Scaling flow-based approaches for topology sampling in $\mathrm{SU}(3)$ gauge theory