| THE PHYSICS OF ELEMENTARY PARTICLES AND FIELDS |
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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 |
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| Cite this article: |
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XU Shu-Sheng, JIANG Yu, SHI Chao et al 2015 Chin. Phys. Lett. 32 121101 |
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Abstract 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.
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Received: 17 August 2015
Published: 05 January 2016
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| PACS: |
11.30.Rd
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(Chiral symmetries)
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25.75.Nq
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(Quark deconfinement, quark-gluon plasma production, and phase transitions)
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12.38.Mh
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(Quark-gluon plasma)
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12.39.-x
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(Phenomenological quark models)
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