QCD chiral transition, U(1)A symmetry and the dirac spectrum using domain wall fermions

被引：85

作者：

Buchoff, Michael I. ^{[1
,2
]}

Cheng, Michael ^{[3
]}

Christ, Norman H. ^{[4
]}

Ding, H. -T. ^{[4
,5
]}

Jung, Chulwoo ^{[5
]}

Karsch, F. ^{[5
,6
]}

Lin, Zhongjie ^{[4
]}

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

Mukherjee, Swagato ^{[5
]}

Petreczky, P. ^{[5
]}

Renfrew, Dwight ^{[4
]}

Schroeder, Chris ^{[1
]}

Vranas, P. M. ^{[1
]}

Yin, Hantao ^{[4
]}

机构：

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

[2] Univ Washington, Inst Nucl Theory, Seattle, WA 98195 USA

[3] Boston Univ, Ctr Computat Sci, Boston, MA 02215 USA

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

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

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

来源：

PHYSICAL REVIEW D | 2014年 / 89卷 / 05期

关键词：

PHASE-TRANSITION; INSTANTONS; THERMODYNAMICS;

D O I：

10.1103/PhysRevD.89.054514

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We report on a study of the finite-temperature QCD transition region for temperatures between 139 and 196 MeV, with a pion mass of 200 MeV and two space-time volumes: 24(3) x 8 and 32(3) x 8, where the larger volume varies in linear size between 5.6 fm (at T = 13(9) MeV) and 4.0 fm (at T = 195 MeV). These results are compared with the results of an earlier calculation using the same action and quark masses but a smaller, 163 x 8 volume. The chiral domain wall fermion formulation with a combined Iwasaki and dislocation suppressing determinant ratio gauge action are used. This lattice action accurately reproduces the SU(2)(L) x SU(2)(R) and U(1)(A) symmetries of the continuum. Results are reported for the chiral condensates, connected and disconnected susceptibilities and the Dirac eigenvalue spectrum. We find a pseudocritical temperature, T-c, of approximately 165 MeV consistent with previous results and strong finite-volume dependence below T-c. Clear evidence is seen for U(1)(A) symmetry breaking above T-c which is quantitatively explained by the measured density of near-zero modes in accordance with the dilute instanton gas approximation.

引用

页数：23

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