https://doi.org/10.1140/epja/s10050-024-01239-0
Regular Article - Theoretical Physics
Exploring the chiral and deconfinement phase transitions in a self-consistent PNJL model
1
Department of Physics, Jiangsu University, 212013, Zhenjiang, People’s Republic of China
2
College of Physics, JiLin University, 130012, Changchun, People’s Republic of China
3
Center for Fundamental Physics, School of Mechanics and Physics, Anhui University of Science and Technology, 232001, Huainan, Anhui, People’s Republic of China
4
School of Fundamental Physics and Mathematical Sciences, Hangzhou Institute for Advanced Study, UCAS, 310024, Hangzhou, People’s Republic of China
Received:
10
October
2023
Accepted:
9
January
2024
Published online:
1
February
2024
In this work, we study the chiral, deconfinement phase transitions in a two-flavor Polyakov loop extended Nambu–Jona-Lasinio (PNJL) model. Note that the self-consistent mean field approximation is employed by introducing an arbitrary parameter 
to measure the weights of the Fierz-transformed interaction channels. By making use of this model, we systematically investigate the chiral and deconfinement phase transition lines (as well as the chiral ones in the NJL model for comparison) under different values of . It is found that the increasing of helps to enhance the chiral (pseudo)critical temperature at fixed chemical potential and also to enhance the chiral (pseudo)critical chemical potential at fixed temperature. And the critical end point (CEP) vanishes when becomes large enough. Besides, we find that the incorporation of Polyakov loop increases 
but does not change 
for small values of .
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