论文标题

QCD相图和关键指数中的非Xtygision Polyakov-nambu-Jona-lasinio模型

QCD phase diagram and critical exponents within the nonextensive Polyakov-Nambu-Jona-Lasinio model

论文作者

Zhao, Ya-Peng, Zuo, Shu-Yu, Li, Cheng-Ming

论文摘要

我们提供了基于非Xtentive统计力学的Polyakov-nambu-Jona-lasinio模型的非xtangendentive版本。该新的统计数据的特征是无量纲的无Xtententive参数$ Q $,该$ Q $ $ Q $ cartence违反了Boltzmann-Gibbs(BG)统计的所有可能效果(当$ Q ​​\ rightArrow1 $时,它返回到BG案例)。基于非Xtygentive Polyakov-nambu-Jona-lasinio模型,我们讨论了非xtigendentigen关系对QCD相变的影响,尤其是对临界终点(CEP)位置的影响。我们发现的一种新的有趣现象是,随着$ Q $的增加,CEP位置最初朝着更大的化学势和较低温度的方向转移。但是,当$ q $大于关键值$ q_ {c} $时,CEP位置朝相反的方向移动。换句话说,随着$ Q $的增加,CEP位置朝着较小的化学势和较高温度的方向移动。此外,我们计算了非Xtigend效应对关键指数的影响,并发现它们几乎以$ q $的速度保持恒定。

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 $q\rightarrow1$, 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 $q_{c}$, 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 $q$.

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