Correlated Dirac Eigenvalues and Axial Anomaly in Chiral Symmetric QCD

doi:10.1103/PhysRevLett.126.082001

	Correlated Dirac Eigenvalues and Axial Anomaly in Chiral Symmetric QCD
	Ding, H-T 2,3; Li, S-T 2,3,4; Mukherjee, Swagato 5; Tomiya, A.1; Wang, X-D 2,3; Zhang, Y.2,3
刊名	PHYSICAL REVIEW LETTERS
	2021-02-22
卷号	126 期号:8 页码:6
ISSN号	0031-9007
DOI	10.1103/PhysRevLett.126.082001
通讯作者	Zhang, Y.(yuzhang@mails.ccnu.edu.cn)
英文摘要	We introduce novel relations between the derivatives [partial derivative(n)rho(lambda, m(l))/ partial derivative m(l)(n) of the Dirac eigenvalue spectrum [rho(lambda, m(1))] with respect to the light sea quark mass (m(i)) 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 derivative(n)rho(lambda,m(l)/partial derivative 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, and lattices having aspect ratios 4-9. We find that rho(lambda -> 0, 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 -> 0, and its amplitude is proportional to m(l)(2). We demonstrate that this rho(lambda -> 0, 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.
资助项目	National Natural Science Foundation of China[11775096] ; National Natural Science Foundation of China[11535012] ; National Natural Science Foundation of China[11947237] ; U.S. Department of Energy, Office of Science, Office of Nuclear Physics[DE-SC0012704] ; U.S. Department of Energy, Office of Science, Office of Nuclear Physics and Office of Advanced Scientific Computing Research within the framework of Scientific Discovery through Advance Computing (SciDAC) award Computing the Properties of Matter with Leade ; RIKEN Special Postdoctoral Researcher program ; JSPS KAKENHI[JP20K14479] ; Office of Science of the U.S. Department of Energy
WOS研究方向	Physics
语种	英语
出版者	AMER PHYSICAL SOC
WOS记录号	WOS:000620347900004
资助机构	National Natural Science Foundation of China ; U.S. Department of Energy, Office of Science, Office of Nuclear Physics ; U.S. Department of Energy, Office of Science, Office of Nuclear Physics and Office of Advanced Scientific Computing Research within the framework of Scientific Discovery through Advance Computing (SciDAC) award Computing the Properties of Matter with Leade ; RIKEN Special Postdoctoral Researcher program ; JSPS KAKENHI ; Office of Science of the U.S. Department of Energy
内容类型	期刊论文
源URL	[http://119.78.100.186/handle/113462/137879]
专题	中国科学院近代物理研究所
通讯作者	Zhang, Y.
作者单位	1.Brookhaven Natl Lab, RIKEN BNL Res Ctr, Upton, NY 11973 USA 2.Cent China Normal Univ, Inst Particle Phys, Wuhan 430079, Peoples R China 3.Cent China Normal Univ, Key Lab Quark & Lepton Phys MOE, Wuhan 430079, Peoples R China 4.Chinese Acad Sci, Inst Modern Phys, Lanzhou 730000, Peoples R China 5.Brookhaven Natl Lab, Dept Phys, Upton, NY 11973 USA
推荐引用方式 GB/T 7714	Ding, H-T,Li, S-T,Mukherjee, Swagato,et al. Correlated Dirac Eigenvalues and Axial Anomaly in Chiral Symmetric QCD[J]. PHYSICAL REVIEW LETTERS,2021,126(8):6.
APA	Ding, H-T,Li, S-T,Mukherjee, Swagato,Tomiya, A.,Wang, X-D,&Zhang, Y..(2021).Correlated Dirac Eigenvalues and Axial Anomaly in Chiral Symmetric QCD.PHYSICAL REVIEW LETTERS,126(8),6.
MLA	Ding, H-T,et al."Correlated Dirac Eigenvalues and Axial Anomaly in Chiral Symmetric QCD".PHYSICAL REVIEW LETTERS 126.8(2021):6.