https://doi.org/10.1140/epjc/s10052-013-2612-6
Regular Article - Theoretical Physics
The Wigner solution of quark gap equation and chiral phase transition of QCD at finite temperature and nonzero chemical potential
1
Key Laboratory of Modern Acoustics, MOE, Institute of Acoustics, and Department of Physics, Nanjing University, Nanjing, 210093, China
2
Department of Physics, Nanjing University, Nanjing, 210093, China
3
State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, CAS, Beijing, 100190, China
4
Joint Center for Particle, Nuclear Physics and Cosmology, Nanjing, 210093, China
5
Center for Statistical and Theoretical Condensed Matter Physics, Zhejiang Normal University, Jinhua City, Zhejiang Province, 321004, China
* e-mail: zonghs@chenwang.nju.edu.cn
Received:
21
August
2013
Revised:
25
September
2013
Published online:
17
October
2013
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.
© Springer-Verlag Berlin Heidelberg and Società Italiana di Fisica, 2013
