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)

References in corpus (10)

• The QCD equation of state with dynamical quarks
• The QCD transition temperature: results with physical masses in the continuum limit II.
• Critical slowing down and error analysis in lattice QCD simulations
• Accelerating Dynamical Fermion Computations using the Rational Hybrid Monte Carlo (RHMC) Algorithm with Multiple Pseudofermion Fields
• Chiral symmetry breaking and the Banks--Casher relation in lattice QCD with Wilson quarks
• Accelerating Staggered Fermion Dynamics with the Rational Hybrid Monte Carlo (RHMC) Algorithm
• Fighting topological freezing in the two-dimensional CP${}^{N-1}$ model
• Topology and axions in QCD
• Large-$N$ $SU(N)$ Yang-Mills theories with milder topological freezing
• Large-$N$ expansion and $\theta$-dependence of $2d$ $C{P}^{N-1}$ models beyond the leading order

Cited by in corpus (1)

• Lattice determination of the topological susceptibility slope ${\chi }^{\prime }$ of $2d{\mathrm{CP}}^{N-1}$ models at large $N$