Correlated Dirac Eigenvalues and Axial Anomaly in Chiral Symmetric QCD.

@article{Ding2020CorrelatedDE,
  title={Correlated Dirac Eigenvalues and Axial Anomaly in Chiral Symmetric QCD.},
  author={Heng-Tong Ding and S.-T. Li and Swagato Mukherjee and Akio Tomiya and X.-D. Wang and Y. Zhang},
  journal={Physical review letters},
  year={2020},
  volume={126 8},
  pages={
          082001
        }
}
We introduce novel relations between the derivatives [∂^{n}ρ(λ,m_{l})/∂m_{l}^{n}] of the Dirac eigenvalue spectrum [ρ(λ,m_{l})] with respect to the light sea quark mass (m_{l}) and the (n+1)-point correlations among the eigenvalues (λ) of the massless Dirac operator. Using these relations we present lattice QCD results for ∂^{n}ρ(λ,m_{l})/∂m_{l}^{n} (n=1, 2, 3) for m_{l} corresponding to pion masses m_{π}=160-55  MeV and at a temperature of about 1.6 times the chiral phase transition… 

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References

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Correlated Dirac Eigenvalues and Axial Anomaly in Chiral Symmetric QCD

Study of the axial U(1) anomaly at high temperature with lattice chiral fermions

We investigate the axial U(1) anomaly of two-flavor QCD at temperatures 190--330 MeV. In order to preserve precise chiral symmetry on the lattice, we employ the Mobius domain-wall fermion action as

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