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Topological susceptibility of pure gauge theory using Density of States

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arxiv 2101.03383 v2 pith:PNHRYNAC submitted 2021-01-09 hep-lat hep-phhep-th

Topological susceptibility of pure gauge theory using Density of States

classification hep-lat hep-phhep-th
keywords susceptibilitytopologicaldensitygaugemethodpurerarestates
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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  1. Scaling flow-based approaches for topology sampling in $\mathrm{SU}(3)$ gauge theory

    hep-lat 2025-10 unverdicted novelty 6.0

    Out-of-equilibrium simulations with open-to-periodic boundary switching plus a tailored stochastic normalizing flow enable efficient topology sampling in the continuum limit of four-dimensional SU(3) Yang-Mills theory.