The Quark Number Susceptibility of QCD at Finite Temperature and Chemical Potential
ZHU Hui-Xia1,2 , SUN Wei-Min1,3,4 , ZONG Hong-Shi1,3,4
1 Department of Physics, Nanjing University, Nanjing 2100932 The College of Physics and Electronic Information, Anhui Normal University, Wuhu 2410003 Joint Center for Particle, Nuclear Physics and Cosmology, Nanjing 2100934 State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190
Abstract ：We calculate the quark number density and quark number susceptibility (QNS) of QCD at finite chemical potential μ and finite temperature T in the framework of a new nonperturbative QCD model. Analysis and discussions of the calculated results of the QNS are given. It is found that the quark number density has a singularity when μ comes close to a critical value μ 0 , and the QNS χ (μ,T ) becomes discontinuous at some values of T . At high temperature the QNS approaches the free quark gas result, while at very low temperature the QNS equals zero. Importantly, the QNS shows a sudden increase near some temperature (T～ 120 MeV), which may be regarded as the signal of a crossover.
收稿日期: 2012-10-23
出版日期: 2013-05-31
[1] Gottlieb S, Liu W, Toussaint D, Renken R L and Sugar R L 1987 Phys. Rev. Lett. 59 2247 1987 Phys. Rev. D 36 3291 1989 Phys. Rev. D 40 2743 1991 Phys. Lett. B 271 395 2000 Phys. Rev. Lett. 85 2076 2000 Phys. Rev. Lett. 85 2072 2002 Phys. Rev. C 65 034906 1988 Phys. Rev. D 38 2888 2001 Phys. Rev. D 64 074506 2002 Phys. Rev. D 65 094515 2002 Phys. Rev. D 65 054506 2003 Phys. Rev. D 68 014507 2005 Phys. Rev. D 71 054508 2007 Phys. Rev. D 75 054026 2001 Phys. Lett. B 523 143 2002 Eur. Phys. J. C 23 591 2003 Eur. Phys. J. C 27 433 2010 J. Phys. G 37 055001 2010 J. Phys. G 37 105004 2011 Phys. Rev. D 84 054009 2007 Phys. Rev. D 76 076005 2009 Phys. Rev. D 79 036001 2009 Phys. Lett. B 680 432 2007 Int. J. Mod. Phys. A 22 3201 2007 J. Phys. G 34 2655 2005 Phys. Rev. C 71 015205 2005 Phys. Rev. C 72 034901 2006 Phys. Rev. D 73 016004 Prog. Part. Nucl. Phys. 45 S1-S1031998 Phys. Lett. B 425 232 2008 Int. J. Mod. Phys. A 23 3591 2003 Phys. Rev. D 67 054019 2004 Phys. Rev. D 70 014014 1996 Nucl. Phys. A 605 475 1985 Phys. Rev. D 32 956 Finite Temperature Field Theory (Cambridge: Cambridge University Press)2008 Phys. Rev. D 78 054001 2012 Phys. Rev. D 86 114028 2012 Chin. Phys. Lett. 29 101201 1998 Phys. Rev. D 58 096007 1997 Phys. Rev. D 55 6852 1996 Phys. Rev. D 54 4585 2011 J. High Energy Phys. 1102 066
[1]
.
[2]
.
[3]
.
[4]
.
[5]
.
[6]
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2013, Vol. 30 
