Chiral transition and U(1)A symmetry restoration from lattice QCD using domain wall fermions

被引：83

作者：

Bazavov, A. ^{[1
]}

Bhattacharya, Tanmoy ^{[2
]}

Buchoff, Michael I. ^{[3
]}

Cheng, Michael ^{[3
]}

Christ, N. H. ^{[4
]}

Ding, H. -T. ^{[1
]}

Gupta, Rajan ^{[2
]}

Hegde, Prasad ^{[1
]}

Jung, Chulwoo ^{[1
]}

Karsch, F. ^{[1
,5
]}

Lin, Zhongjie ^{[4
]}

Mawhinney, R. D. ^{[4
]}

Mukherjee, Swagato ^{[1
]}

Petreczky, P. ^{[1
]}

Soltz, R. A. ^{[2
]}

Vranas, P. M. ^{[3
]}

Yin, Hantao ^{[4
]}

机构：

[1] Brookhaven Natl Lab, Dept Phys, Upton, NY 11973 USA

[2] Los Alamos Natl Lab, Div Theoret, Los Alamos, NM 87545 USA

[3] Lawrence Livermore Natl Lab, Div Phys, Livermore, CA 94550 USA

[4] Columbia Univ, Dept Phys, New York, NY 10027 USA

[5] Univ Bielefeld, Fak Phys, D-33615 Bielefeld, Germany

来源：

PHYSICAL REVIEW D | 2012年 / 86卷 / 09期

关键词：

HIGH-TEMPERATURE PHASE; LOW-LYING EIGENVALUES; NONPERTURBATIVE RENORMALIZATION; DIRAC OPERATOR; BREAKING; ALGORITHM; MASSES;

D O I：

10.1103/PhysRevD.86.094503

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We present results on both the restoration of the spontaneously broken chiral symmetry and the effective restoration of the anomalously broken U(1)(A) symmetry in finite temperature QCD at zero chemical potential using lattice QCD. We employ domain wall fermions on lattices with fixed temporal extent N-tau = 8 and spatial extent N-sigma = 16 in a temperature range of T = 139-195 MeV, corresponding to lattice spacings of a approximate to 0.12-0.18 fm. In these calculations, we include two degenerate light quarks and a strange quark at fixed pion mass m(pi) = 200 MeV. The strange quark mass is set near its physical value. We also present results from a second set of finite temperature gauge configurations at the same volume and temporal extent with slightly heavier pion mass. To study chiral symmetry restoration, we calculate the chiral condensate, the disconnected chiral susceptibility, and susceptibilities in several meson channels of different quantum numbers. To study U(1)(A) restoration, we calculate spatial correlators in the scalar and pseudoscalar channels, as well as the corresponding susceptibilities. Furthermore, we also show results for the eigenvalue spectrum of the Dirac operator as a function of temperature, which can be connected to both U(1)(A) and chiral symmetry restoration via Banks-Casher relations.

引用

页数：30

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