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

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arxiv 2208.08921 v2 pith:SGPEVWRU submitted 2022-08-18 hep-lat hep-ph

Andreas Athenodorou , Claudio Bonanno , Claudio Bonati , Giuseppe Clemente , Francesco D'Angelo , Massimo D'Elia , Lorenzo Maio , Guido Martinelli
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Francesco Sanfilippo Antonino Todaro
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classification hep-lathep-ph
keywords susceptibilitytopologicaldefinitionlatticeprojectorsrangespectralstaggered
verification ladder T0 review T1 audit T2 compute T3 formal
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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 $\sim200$ MeV up to $\sim600$ 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.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. RG-Invariant Symmetry Ratio for QCD: A Study of $U(1)_A$ and Chiral Symmetry Restoration

    hep-lat 2026-02 conditional novelty 6.0 of 10

    In the continuum limit, κ_PS, κ_VA and κ_TX are all consistent with zero and with each other down to 164 MeV, implying concurrent chiral and U(1)_A restoration in the quark-connected nonsinglet sector.

  2. Centre vortex evidence for a second finite-temperature QCD transition

    hep-lat 2024-11 conditional novelty 6.0 of 10

    Centre vortex percolation persists through the chiral crossover in 2+1 flavour QCD and is lost near 321 MeV, suggesting a separate deconfinement transition at about 1.9 times the chiral transition temperature.

  3. Parametric-Resonance Production of QCD Axions

    hep-ph 2026-02 conditional novelty 5.0 of 10

    Primordial temperature fluctuations can parametrically resonate with QCD axions during the QCD phase transition, raising the dark-matter axion mass window to tens-to-hundreds of μeV.

  4. The gluino condensate of large-$N$ SUSY Yang-Mills

    hep-lat 2024-12 conditional novelty 4.0 of 10

    The large-N SUSY gluino condensate is computed on the lattice for the first time and agrees, within errors, with the weak-coupling instanton value.

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