Wigner solution of the quark gap equation

doi:10.1140/epjc/s10052-018-6264-4

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	Wigner solution of the quark gap equation
	Cui, ZF ; Xu, SS ; Li, BL ; Sun, A 6; Zhang, JB ; Zong, HS
刊名	EUROPEAN PHYSICAL JOURNAL C
	2018
卷号	78 期号:9 页码:770
关键词	PHASE-DIAGRAM QCD MODEL
ISSN号	1434-6044
DOI	10.1140/epjc/s10052-018-6264-4
英文摘要	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.
学科主题	Physics
语种	英语
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/22809]
专题	理论物理研究所_理论物理所1978-2010年知识产出
作者单位	1.Xu, Shu-Sheng 2.[Cui, Zhu-Fang 3.Joint Ctr Particle Nucl Phys & Cosmol, Nanjing 210093, Jiangsu, Peoples R China 4.Harbin Inst Technol, Dept Phys, Harbin 150001, Heilongjiang, Peoples R China 5.Nanjing Univ, Coll Engn & Appl Sci, Nanjing 210093, Jiangsu, Peoples R China 6.[Li, Bo-Lin 7.Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, Beijing 100190, Peoples R China 8.Nanjing Univ, Dept Phys, 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.