Topological observables and dependence in high temperature QCD from lattice simulations
arXiv:2502.15407 · doi:10.1007/JHEP09(2025)045
Abstract
We study topology in Quantum Chromodynamics at high temperatures by means of lattice calculations. Simulations are performed with Wilson twisted mass fermions at maximal twist with physical quark masses, and temperatures MeV. The results obtained with three lattice spacings ranging between and fm are extrapolated to the continuum limit. We compare the results for the topological susceptibility obtained with the field-theoretic definition with those obtained from an observable constructed with the disconnected part of the chiral susceptibility, and we confirm their agreement -- within the largish errors -- on our range of temperatures. We also study the topological charge distribution, the next order cumulant and, for the first time, the Free Energy as a function of the angle. We find a rapid crossover to the Dilute Instanton Gas behaviour above MeV for all the observables we have considered.
31 pages, 19 figures. v2: version accepted for publication
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