Jul 26 – 30, 2021
US/Eastern timezone

Correlated Dirac Eigenvalues and Axial Anomaly in Chiral Symmetric QCD

Jul 28, 2021, 5:45 AM
15m
Oral presentation QCD at nonzero Temperature and Density QCD at nonzero Temperature and Density

Speaker

Yu Zhang (Central China Normal University)

Description

In this talk we present the novel relations between the quark mass derivatives [$\partial^{n}\rho(\lambda,m_l)/\partial m_{l}^{n}$] of the Dirac eigenvalue spectrum and the $(n+1)$-point correlations among the eigenvalues. 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, and at a temperature of about 1.6 times the chiral phase transition temperature. Calculations were carried out using (2+1) flavors of highly improved staggered quarks with the physical value of strange quark mass, three lattice spacings $a=0.12, 0.08, 0.06~$fm. We find that $\rho(\lambda\to0,m_l)$ 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 $a\to0$, and its amplitude is proportional to $m_{l}^2$. We demonstrate that this $\rho(\lambda\to0,m_l)$ 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. This talk is based on our recent published paper [PRL 126 (2021) 082001].

Primary author

Yu Zhang (Central China Normal University)

Co-authors

Heng-Tong Ding (Central China Normal University) Swagato Mukherjee (Brookhaven National Laboratory) Akio Tomiya (RIKEN BNL Research Center) Sheng-Tai Li (CCNU) Xiaodan Wang (CCNU)

Presentation materials