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Cui, ZF; Xu, SS; Li, BL; Sun, A5; Zhang, JB; Zong, HS
Wigner solution of the quark gap equation
发表期刊EUROPEAN PHYSICAL JOURNAL C
语种英语
关键词PHASE-DIAGRAM QCD MODEL
摘要Solutions and their evolutions of the quark gap equation are studied within theNambu-Jona-Lasinio model, which is a basic issue for studying the QCD phase structure and locating the possible critical end point. It is shown that in the chiral limit case of the vacuum, chiral symmetry will hold if the coupling strength G is small, then the system only has the Wigner solution at M = 0. If increasing G, two symmetric minima will appear as the positive and "negative" Nambu solutions, however, the solution M = 0 now corresponds to a maximum instead of a minimum of the thermodynamical potential, so is not a physically stable state anymore (we call it "pseudo-Wigner solution"). Besides, it is shown that as the current quark mass m increases, the pseudo-Wigner solution will become negative, and disappear together with the negative Nambu solution if m is large enough. Similar things happen if we increase the temperature or quark chemical potential mu. Some interesting phenomenon is, from some mu a second local minimum will show up. As mu increases gradually, it will be stabler than the Nambu solution, survives even the Nambu solution disappears, and approaches m, which are just the features of the Wigner solution we expect.
2018
ISSN1434-6044
卷号78期号:9页码:770
学科领域Physics
学科门类Physics, Particles & Fields
DOI10.1140/epjc/s10052-018-6264-4
收录类别SCIE
引用统计
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/22809
专题理论物理所科研产出_SCI论文
作者单位1.[Cui, Zhu-Fang
2.Xu, Shu-Sheng
3.Nanjing Univ, Dept Phys, Nanjing 210093, Jiangsu, Peoples R China
4.Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, Beijing 100190, Peoples R China
5.[Li, Bo-Lin
6.Nanjing Univ, Coll Engn & Appl Sci, Nanjing 210093, Jiangsu, Peoples R China
7.Harbin Inst Technol, Dept Phys, Harbin 150001, Heilongjiang, Peoples R China
8.Joint Ctr Particle Nucl Phys & Cosmol, Nanjing 210093, Jiangsu, Peoples R China
推荐引用方式
GB/T 7714
Cui, ZF,Xu, SS,Li, BL,et al. Wigner solution of the quark gap equation[J]. EUROPEAN PHYSICAL JOURNAL C,2018,78(9):770.
APA Cui, ZF,Xu, SS,Li, BL,Sun, A,Zhang, JB,&Zong, HS.(2018).Wigner solution of the quark gap equation.EUROPEAN PHYSICAL JOURNAL C,78(9),770.
MLA Cui, ZF,et al."Wigner solution of the quark gap equation".EUROPEAN PHYSICAL JOURNAL C 78.9(2018):770.
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