Axial $U(1)$ symmetry at high temperature in 2-flavor lattice QCD

Guido Cossu; Hidenori Fukaya; Kei Suzuki; Shoji Hashimoto (JLQCD Collaboration); Sinya Aoki; Yasumichi Aoki

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Axial $U(1)$ symmetry at high temperature in 2-flavor lattice QCD

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arxiv 1711.09239 v1 pith:52TBEYIF submitted 2017-11-25 hep-lat

Kei Suzuki , Sinya Aoki , Yasumichi Aoki , Guido Cossu , Hidenori Fukaya , Shoji Hashimoto (JLQCD Collaboration) This is my paper · ORCID

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keywords susceptibilitysymmetrytemperatureaxiallatticeoverlapabovebreaking

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abstract

We investigate the axial $U(1)_A$ symmetry breaking above the critical temperature in two-flavor lattice QCD. The ensembles are generated with dynamical M\"obius domain-wall or reweighted overlap fermions. The $U(1)_A$ susceptibility is extracted from the low-modes spectrum of the overlap Dirac eigenvalues. We show the quark mass and temperature dependences of $U(1)_A$ susceptibility. Our results at $T=220 \, \mathrm{MeV}$ imply that the $U(1)_A$ symmetry is restored in the chiral limit. Its coincidence with vanishing topological susceptibility is observed.

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