Discussions on the crossover property within the Nambu--Jona-Lasinio model

Discussions on the crossover property within the Nambu–Jona-Lasinio model

Yi-lun Du, Zhu-fang Cui, Yong-hui Xia, and Hong-shi Zong

Phys. Rev. D 88, 114019 – Published 5 December 2013

Abstract

In this paper, chiral symmetry breaking and its restoration are investigated in the mean field approximation of Nambu–Jona-Lasinio model. A first-order phase transition exists at low temperature, but is smeared out at high temperature. We discuss the rationality of using susceptibilities as the criteria to determine the crossover region as well as the critical point. Based on our results, it is found that to define a critical band instead of an exclusive line in this region might be a more suitable choice.

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Received 30 September 2013

DOI:https://doi.org/10.1103/PhysRevD.88.114019

Authors & Affiliations

Yi-lun Du¹, Zhu-fang Cui^2,3, Yong-hui Xia^2,3, and Hong-shi Zong^2,3,4,*

¹Key Laboratory of Modern Acoustics, MOE, Institute of Acoustics, and Department of Physics, Nanjing University, Nanjing 210093, China
²Department of Physics, Nanjing University, Nanjing 210093, China
³State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, CAS, Beijing 100190, China
⁴Joint Center for Particle, Nuclear Physics and Cosmology, Nanjing 210093, China

^*zonghs@chenwang.nju.edu.cn.

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Vol. 88, Iss. 11 — 1 December 2013

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