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Cui, ZF; Xu, SS; Li, BL; Sun, A5; Zhang, JB; Zong, HS
Wigner solution of the quark gap equation
Source PublicationEUROPEAN PHYSICAL JOURNAL C
Language英语
KeywordPHASE-DIAGRAM QCD MODEL
AbstractSolutions 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
Volume78Issue:9Pages:770
Subject AreaPhysics
MOST Discipline CataloguePhysics, Particles & Fields
DOI10.1140/epjc/s10052-018-6264-4
Indexed BySCIE
Citation statistics
Cited Times:4[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/22809
CollectionSCI期刊论文
Affiliation1.[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
Recommended Citation
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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