2020/08/21 by Ya-Peng Zhao, Shu-Yu Zuo, Cheng-Ming Li
Physics and Astronomy · #hep-ph
paper · pdf · doi:10.1088/1674-1137/abf8a2
arXiv admin note: substantial text overlap with arXiv:2004.14556
arxiv created 2020/08/21 · arxiv updated 2021/09/01
We present a nonextensive version of the Polyakov-Nambu-Jona-Lasinio model which is based on the nonextentive statistical mechanics. This new statistics is characterized by a dimensionless nonextensivity parameter q that accounts for all possible effects violating the assumptions of the Boltzmann-Gibbs (BG) statistics (when q→1, it returns to the BG case). Based on the nonextensive Polyakov-Nambu-Jona-Lasinio model, we discussed the influence of the nonextensive effects on the QCD phase transition, especially on the location of the critical end point (CEP). A new and interesting phenomenon we found is that with the increase of q, the CEP position initially shifted toward the direction of larger chemical potential and lower temperature. But then, when q is greater than a critical value qc, the CEP position moves in the opposite direction. In other words, as q increases, the CEP position moves in the direction of smaller chemical potential and higher temperature. In addition, we calculated the influence of the nonextensive effects on the critical exponents and found that they remain almost constant with q.