Topological susceptibility of $N_f=2+1$ QCD from staggered fermions spectral projectors at high temperatures

Abstract

We compute the topological susceptibility of $N_f=2+1$ QCD with physical quark masses in the high-temperature phase, using numerical simulations of the theory discretized on a space-time lattice. More precisely we estimate the topological susceptibility for five temperatures in the range from $\sim 200$ MeV up to $\sim 600$ MeV, adopting the spectral projectors definition of the topological charge based on the staggered Dirac operator. This strategy turns out to be effective in reducing the large lattice artifacts which affect the standard gluonic definition, making it possible to perform a reliable continuum extrapolation. Our results for the susceptibility in the explored temperature range are found to be partially in tension with previous determinations in the literature.

33 pages, 33 eps figures, revised version matches published one (minor corrections)

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Cited by in corpus (13)

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• Topological susceptibility of $2d{\mathrm{CP}}^1$ or $\mathrm{O}(3)$ non-linear $\sigma$-model: is it divergent or not?
• Topological features of the deconfinement transition
• Spectral density of the Dirac-Ginsparg-Wilson operator, chiral $U(1{)}_A$ anomaly, and analyticity in the high temperature phase of $QCD$
• Parametric-Resonance Production of QCD Axions
• Topological observables and $\theta$ dependence in high temperature QCD from lattice simulations
• Scaling flow-based approaches for topology sampling in $\mathrm{SU}(3)$ gauge theory
• Group-Equivariant Diffusion Models for Lattice Field Theory
• Monopoles, spectra of overlap fermions, and eta-prime meson in external magnetic fields
• Probing the chiral and $U(1)$ axial symmetry restoration via meson susceptibilities in holographic QCD