# 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
}
}
• Published 28 October 2020
• Physics
• Physical review letters
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

SHOWING 1-10 OF 33 REFERENCES

• Physics
Proceedings of The 38th International Symposium on Lattice Field Theory — PoS(LATTICE2021)
• 2022
• Physics
• 2020
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
• Physics
Physical Review D
• 2021
We present lattice QCD results for masses and magnetic polarizabilities of light and strange pseudo-scalar mesons, chiral condensates, decay constants of neutral pion and neutral kaon in the presence
• Physics
• 2020
We investigate the high-temperature phase of QCD using lattice QCD simulations with $N_f = 2$ dynamical Mobius domain-wall fermions. On generated configurations, we study the axial $U(1)$ symmetry,
• Physics
• 2020
We utilize the eigenvalue filtering technique combined with the stochastic estimate of the mode number to determine the eigenvalue spectrum. Simulations of (2 + 1)-flavor QCD are performed using the
• Physics
Physical Review D
• 2019
We present lattice QCD results for mesonic screening masses in the temperature range 140 MeV less than or similar to T less than or similar to 2500 MeV. Our calculations were carried out using (2 +
This well-respected text gives an introduction to the theory and application of modern numerical approximation techniques for students taking a oneor two-semester course in numerical analysis. With
• Materials Science
• 1984
The phase transition restoring chiral symmetry at finite temperatures is considered in a linear $\ensuremath{\sigma}$ model. For three or more massless flavors, the perturbative
• Physics
• 1981
The current understanding of the behavior of quantum chromodynamics at finite temperature is presented. Perturbative methods are used to explore the high-temperature dynamics. At sufficiently high
• Physics
Physical review letters
• 2019
We present a lattice-QCD-based determination of the chiral phase transition temperature in QCD with two degenerate, massless quarks and a physical strange quark mass using lattice QCD calculations