The Wigner solution of quark gap equation and chiral phase transition of QCD at finite temperature and nonzero chemical potential

被引:37
作者
Cui, Zhu-fang [1 ,2 ,3 ]
Shi, Chao [2 ,3 ]
Xia, Yong-hui [2 ,3 ]
Jiang, Yu [4 ,5 ]
Zong, Hong-shi [2 ,3 ,4 ]
机构
[1] Nanjing Univ, Key Lab Modern Acoust, MOE, Inst Acoust, Nanjing 210093, Jiangsu, Peoples R China
[2] Nanjing Univ, Dept Phys, Nanjing 210093, Jiangsu, Peoples R China
[3] Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, Beijing 100190, Peoples R China
[4] Joint Ctr Particle Nucl Phys & Cosmol, Nanjing 210093, Jiangsu, Peoples R China
[5] Zhejiang Normal Univ, Ctr Stat & Theoret Condensed Matter Phys, Jinhua City 321004, Zhejiang, Peoples R China
来源
EUROPEAN PHYSICAL JOURNAL C | 2013年 / 73卷 / 10期
基金
中国国家自然科学基金;
关键词
DYSON-SCHWINGER EQUATIONS; VECTOR INTERACTION; MODEL; CONDENSATE; CONTINUUM; DENSITY;
D O I
10.1140/epjc/s10052-013-2612-6
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
By employing some modification to the normal NJL model, we discuss the Wigner solution of quark gap equation at finite temperature and chemical potential when the current quark mass m is nonzero. The discovery of the coexistence of the Nambu solution and the Wigner solution at finite temperature and chemical potential beyond the chiral limit is of great importance in the study of the chiral phase transition of QCD. Using the pressure difference between Nambu phase and Wigner phase (or in other words, the bag constant) as an order parameter for chiral phase transition, we draw a possible phase diagram based on our calculations.
引用
收藏
页码:1 / 8
页数:8
相关论文
共 39 条
[1]   Hadron production in ultra-relativistic nuclear collisions: Quarkyonic matter and a triple point in the phase diagram of QCD [J].
Andronic, A. ;
Blaschke, D. ;
Braun-Munzinger, P. ;
Cleymans, J. ;
Fukushima, K. ;
McLerran, L. D. ;
Oeschler, H. ;
Pisarski, R. D. ;
Redlich, K. ;
Sasaki, C. ;
Satz, H. ;
Stachel, J. .
NUCLEAR PHYSICS A, 2010, 837 (1-2) :65-86
[2]   The order of the quantum chromodynamics transition predicted by the standard model of particle physics [J].
Aoki, Y. ;
Endrodi, G. ;
Fodor, Z. ;
Katz, S. D. ;
Szabo, K. K. .
NATURE, 2006, 443 (7112) :675-678
[3]  
ASAKAWA M, 1989, NUCL PHYS A, V504, P668
[4]   The QCD phase diagram for external magnetic fields [J].
Bali, G. S. ;
Bruckmann, F. ;
Endrodi, G. ;
Fodor, Z. ;
Katz, S. D. ;
Krieg, S. ;
Schaefer, A. ;
Szabo, K. K. .
JOURNAL OF HIGH ENERGY PHYSICS, 2012, (02)
[5]   Chiral and deconfinement aspects of the QCD transition [J].
Bazavov, A. ;
Bhattacharya, T. ;
Cheng, M. ;
DeTar, C. ;
Ding, H-T. ;
Gottlieb, Steven ;
Gupta, R. ;
Hegde, P. ;
Heller, U. M. ;
Karsch, F. ;
Laermann, E. ;
Levkova, L. ;
Mukherjee, S. ;
Petreczky, P. ;
Schmidt, C. ;
Soltz, R. A. ;
Soeldner, W. ;
Sugar, R. ;
Toussaint, D. ;
Unger, W. ;
Vranas, P. .
PHYSICAL REVIEW D, 2012, 85 (05)
[6]   Exploring the QCD phase diagram with compact stars [J].
Blaschke, D ;
Grigorian, H ;
Khalatyan, A ;
Voskresensky, DN .
NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS, 2005, 141 :137-142
[7]   Coexistence of color superconductivity and chiral symmetry breaking within the NJL model [J].
Blaschke, D ;
Volkov, MK ;
Yudichev, VL .
EUROPEAN PHYSICAL JOURNAL A, 2003, 17 (01) :103-110
[8]  
Borsanyi S., 2010, J HIGH ENERGY PHYS, V09, P073
[9]   Role of vector interaction and axial anomaly in the PNJL modeling of the QCD phase diagram [J].
Bratovic, Nino ;
Hatsuda, Tetsuo ;
Weise, Wolfram .
PHYSICS LETTERS B, 2013, 719 (1-3) :131-135
[10]   NJL-model analysis of dense quark matter [J].
Buballa, M .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2005, 407 (4-6) :205-376