Correlated Dirac Eigenvalues and Axial Anomaly in Chiral Symmetric QCD.

@article{Ding2021CorrelatedDE,
  title={Correlated Dirac Eigenvalues and Axial Anomaly in Chiral Symmetric QCD.},
  author={Hengtong Ding and S.-T. Li and Swagato Mukherjee and Akio Tomiya and X.-D. Wang and Y. Zhang},
  journal={Physical review letters},
  year={2021},
  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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