Canonical partition function and finite density phase transition in lattice QCD

被引:205
作者
Ejiri, Shinji [1 ]
机构
[1] Brookhaven Natl Lab, Dept Phys, Upton, NY 11973 USA
来源
PHYSICAL REVIEW D | 2008年 / 78卷 / 07期
关键词
D O I
10.1103/PhysRevD.78.074507
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We discuss the nature of the phase transition for lattice QCD at finite temperature and density. We propose a method to calculate the canonical partition function by fixing the total quark number introducing approximations allowed in the low density region. An effective potential as a function of the quark number density is discussed from the canonical partition function. We analyze data obtained in a simulation of two-flavor QCD using p4-improved staggered quarks with bare quark mass m/T=0.4 on a 16(3)x4 lattice. The results suggest that the finite density phase transition at low temperature is of first order.
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页数:13
相关论文
共 41 条
[1]   Lattice QCD at finite density via a new canonical approach -: art. no. 114513 [J].
Alexandru, A ;
Faber, M ;
Horváth, I ;
Liu, KF .
PHYSICAL REVIEW D, 2005, 72 (11)
[2]   Thermodynamics of two flavor QCD to sixth order in quark chemical potential -: art. no. 054508 [J].
Allton, CR ;
Döring, M ;
Ejiri, S ;
Hands, SJ ;
Kaczmarek, O ;
Karsch, F ;
Laermann, E ;
Redlich, K .
PHYSICAL REVIEW D, 2005, 71 (05) :1-20
[3]   Equation of state for two flavor QCD at nonzero chemical potential [J].
Allton, CR ;
Ejiri, S ;
Hands, SJ ;
Kaczmarek, O ;
Karsch, F ;
Laermann, E ;
Schmidt, C .
PHYSICAL REVIEW D, 2003, 68 (01)
[4]   QCD thermal phase transition in the presence of a small chemical potential [J].
Allton, CR ;
Ejiri, S ;
Hands, SJ ;
Kaczmarek, O ;
Karsch, F ;
Laermann, E ;
Schmidt, C ;
Scorzato, L .
PHYSICAL REVIEW D, 2002, 66 (07)
[5]   Finite density fat QCD [J].
Aloisio, R ;
Azcoiti, V ;
Di Carlo, G ;
Galante, A ;
Grillo, AF .
PHYSICAL REVIEW D, 2000, 61 (11)
[6]  
Ambjorn J, 2002, J HIGH ENERGY PHYS
[7]   New approach to the complex-action problem and its application to a nonperturbative study of superstring theory [J].
Anagnostopoulos, KN ;
Nishimura, J .
PHYSICAL REVIEW D, 2002, 66 (10)
[8]  
ASAKAWA M, 1989, NUCL PHYS A, V504, P668
[9]   The critical points of strongly coupled lattice QCD at nonzero chemical potential [J].
Barbour, IM ;
Morrison, SE ;
Klepfish, EG ;
Kogut, JB ;
Lombardo, MP .
PHYSICAL REVIEW D, 1997, 56 (11) :7063-7072
[10]  
BARBOUR IM, 1998, NUCL PHYS B-PROC SUP, V60, P220