1Center for Statistical and Theoretical Condensed Matter Physics, Zhejiang Normal University, Jinhua 321004 2Department of Physics, Nanjing University, Nanjing 210093 3Joint Center for Particle, Nuclear Physics and Cosmology, Nanjing 210093
Wigner Solution to the Quark Gap Equation in the Nonzero Current Quark Mass
1Center for Statistical and Theoretical Condensed Matter Physics, Zhejiang Normal University, Jinhua 321004 2Department of Physics, Nanjing University, Nanjing 210093 3Joint Center for Particle, Nuclear Physics and Cosmology, Nanjing 210093
摘要From the graphical representation of the Dyson–Schwinger equation for the dressed gluon propagator it is shown that the gluon propagator in the Wigner phase should be different from that in the Nambu phase. Based on this analysis, we propose a modified gluon propagator to reflect this fact. With such a modified gluon propagator, in the framework of the Nambu–Jona–Lasinio (NJL) model, we obtain the Wigner solution to the quark gap equation at finite current quark mass, which has not been found in literature. This provides a new point of view to study partial restoration of chiral symmetry at finite temperature and chemical potential.
Abstract：From the graphical representation of the Dyson–Schwinger equation for the dressed gluon propagator it is shown that the gluon propagator in the Wigner phase should be different from that in the Nambu phase. Based on this analysis, we propose a modified gluon propagator to reflect this fact. With such a modified gluon propagator, in the framework of the Nambu–Jona–Lasinio (NJL) model, we obtain the Wigner solution to the quark gap equation at finite current quark mass, which has not been found in literature. This provides a new point of view to study partial restoration of chiral symmetry at finite temperature and chemical potential.
(Quark deconfinement, quark-gluon plasma production, and phase transitions)
引用本文:
JIANG Yu,GONG Hao,SUN Wei-Min,ZONG Hong-Shi,**. Wigner Solution to the Quark Gap Equation in the Nonzero Current Quark Mass[J]. 中国物理快报, 2012, 29(4): 41201-041201.
JIANG Yu,GONG Hao,SUN Wei-Min,ZONG Hong-Shi,**. Wigner Solution to the Quark Gap Equation in the Nonzero Current Quark Mass. Chin. Phys. Lett., 2012, 29(4): 41201-041201.
[1] Roberts C D and Williams A G 1994 Prog. Part. Nucl. Phys. 33 477[2] Roberts C D and Schmidt S M 2000 Prog. Part. Nucl. Phys. 45 S1[3] Cahill R T and Roberts C D 1985 Phys. Rev. D 32 2419[4] Tandy P C 1997 Prog. Part. Nucl. Phys. 39 117[5] Stephanov M 2006 arXiv:hep-lat/0701002[6] Zong H S, Sun W M, Ping J L, Lu X F and Wang F 2005 Chin. Phys. Lett. 22 3036[7] Chang L, Liu Y X, Bhagwat M S, Roberts C D and Wright S V 2007 Phys. Rev. C 75 015201[8] Chang L, Liu Y X, Bhagwat M S, Roberts C D and Wright S V 2007 Phys. Lett. B 645 167[9] Williams R, Fischer C S and Pennington M R 2007 Acta Phys. Polonica B 38 2803[10] Feng H T, Chang L, Sun W M, Zong H S and Liu Y X 2006 Int. J. Mod. Phys. A21 6003[11] Steele T G 1989 Z. Phys. C 42 499[12] Klevansky S P 1992 Rev. Mod. Phys. 64 649
2012, Vol. 29 
