Correlated Dirac eigenvalues and axial anomaly in chiral symmetric QCD

H.-T. Ding; S. Li; S. Mukherjee; A. Tomiya; X. Wang; Y. Zhang

DOI:10.1103/PhysRevLett.126.082001

Corpus ID: 225094661

Correlated Dirac eigenvalues and axial anomaly in chiral symmetric QCD

@article{Ding2020CorrelatedDE,
  title={Correlated Dirac eigenvalues and axial anomaly in chiral symmetric QCD},
  author={H.-T. Ding and S. Li and S. Mukherjee and A. Tomiya and X. Wang and Y. Zhang},
  journal={arXiv: High Energy Physics - Lattice},
  year={2020}
}

H.-T. Ding, S. Li, +3 authors Y. Zhang

Published 2020

Physics

arXiv: High Energy Physics - Lattice

We introduce novel relations between the derivatives ($\partial^{n}\rho(\lambda, m_{l})/\partial m_{l}^n$) of the Dirac eigenvalue spectrum ($\rho(\lambda, m_{l})$) with respect to the light sea quark mass ($m_{l}$) and the $(n+1)$-point correlations among the eigenvalues ($\lambda$) of the massless Dirac operator. Using these relations we present lattice QCD results for $\partial^{n}\rho(\lambda, m_{l})/\partial m_{l}^n$ ($n=1, 2, 3$) for $m_{l}$ corresponding to pion masses $m_\pi=160-55$ MeV… CONTINUE READING

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