A Model-Independent Discussion of Quark Number Density and Quark Condensate at Zero Temperature and Finite Quark Chemical Potential
XU Shu-Sheng1,4, JIANG Yu2, SHI Chao1,4, CUI Zhu-Fang1,4, ZONG Hong-Shi1,3,4**
1Department of Physics, Nanjing University, Nanjing 210093 2Center for Statistical and Theoretical Condensed Matter Physics, Zhejiang Normal University, Jinhua 321004 3Joint Center for Particle, Nuclear Physics and Cosmology, Nanjing 210093 4State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190
Generally speaking, the quark propagator is dependent on the quark chemical potential in the dense quantum chromodynamics (QCD). By means of the generating functional method, we prove that the quark propagator actually depends on p4+iμ from the first principle of QCD. The relation between quark number density and quark condensate is discussed by analyzing their singularities. It is concluded that the quark number density has some singularities at certain μ when T=0, and the variations of the quark number density as well as the quark condensate are located at the same point. In other words, at a certain μ the quark number density turns to nonzero, while the quark condensate begins to decrease from its vacuum value.
. [J]. 中国物理快报, 2015, 32(12): 121101-121101.
XU Shu-Sheng, JIANG Yu, SHI Chao, CUI Zhu-Fang, ZONG Hong-Shi. A Model-Independent Discussion of Quark Number Density and Quark Condensate at Zero Temperature and Finite Quark Chemical Potential. Chin. Phys. Lett., 2015, 32(12): 121101-121101.
2015, Vol. 32 
