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The fate of axial U(1) in 2+1 flavor QCD towards the chiral limit

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arxiv 1811.08222 v1 pith:2QSRDWBF submitted 2018-11-20 hep-lat

classification hep-lat
keywords quarklightchiralmassregionanomalousaxialbreaking
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

The region of the Columbia plot with two light quark flavors is not yet conclusively understood. Non-perturbative effects, e.g. the magnitude of the anomalous U(1) axial symmetry breaking, decides on the nature of the phase transition in this region. We report on our study of this region of the Columbia plot using lattice techniques. We use gauge field ensembles generated within the Highly Improved Staggered Quark discretization scheme, with the strange quark mass fixed at its physical value and the light quark mass varied such that $m_l=m_s/27$ and $m_s/40$, where $m_l=m_s/27$ corresponds to the physical light quark mass. We study the eigenvalue spectrum of QCD using the overlap Dirac operator on these gauge field ensembles at finite temperature around the chiral transition temperature $T_c$, as the light quark masses approach the chiral limit, and infer about the fate of the anomalous $U_A(1)$ symmetry breaking.

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

    hep-lat 2019-08 conditional novelty 4.0 of 10

    In high-temperature two-flavor lattice QCD, the axial U(1) and topological susceptibilities nearly vanish at small quark mass, consistent with axial U(1) symmetry restoration in the chiral limit.

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