Abstract
We introduce novel relations between the derivatives [] of the Dirac eigenvalue spectrum [] with respect to the light sea quark mass () and the ()-point correlations among the eigenvalues () of the massless Dirac operator. Using these relations we present lattice QCD results for (, 2, 3) for corresponding to pion masses and at a temperature of about 1.6 times the chiral phase transition temperature. Calculations were carried out using () flavors of highly improved staggered quarks with the physical value of strange quark mass, three lattice spacings , 0.08, 0.06 fm, and lattices having aspect ratios 4–9. We find that develops a peaked structure. This peaked structure arises due to non-Poisson correlations within the infrared part of the Dirac eigenvalue spectrum, becomes sharper as , and its amplitude is proportional to . We demonstrate that this is responsible for the manifestations of axial anomaly in two-point correlation functions of light scalar and pseudoscalar mesons. After continuum and chiral extrapolations we find that axial anomaly remains manifested in two-point correlation functions of scalar and pseudoscalar mesons in the chiral limit.
- Received 4 November 2020
- Accepted 25 January 2021
DOI:https://doi.org/10.1103/PhysRevLett.126.082001
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Published by the American Physical Society