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Axial U(1) symmetry, topology, and Dirac spectra at high temperature in $N_f=2$ lattice QCD

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arxiv 1908.11684 v1 pith:QKFT6IMI submitted 2019-08-29 hep-lat

classification hep-lat
keywords diracfermionsspectrasymmetryaxialdomain-walllatticeoverlap
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

Using lattice QCD simulations with $N_f = 2$ dynamical fermions, we study the axial $U(1)$ symmetry, topological charge, and Dirac eigenvalue spectra in the high-temperature phase in which the chiral symmetry is restored. Our gauge ensembles are generated with M\"obius domain-wall fermions, but the measurements such as susceptibilities are reweighted to those for the overlap fermions by using overlap/domain-wall reweighting technique. We find that the $U(1)_A$ and topological susceptibilities are strongly suppressed in the small quark mass region, which is related to the reduction of chiral-zero and low-nonzero modes on the Dirac spectra. We also examine their volume dependence.

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Cited by 1 Pith paper

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  1. Study of symmetries in finite temperature $N_f=2$ QCD with M\"obius Domain Wall Fermions

    hep-lat 2024-12 conditional novelty 4.0 of 10

    Screening-mass measurements in N_f=2 lattice QCD with Möbius domain-wall fermions indicate SU(2)_L x SU(2)_R and axial U(1)_A restoration near T_c ~ 165 MeV, while SU(2)_CS shows no clear emergence.

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