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arXiv 2008.09276hep-ph
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非延拓Polyakov-Nambu-Jona-Lasinio模型中的QCD phase diagram和临界指数

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

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

摘要:

我们提出了一个非广延版本的Polyakov-Nambu-Jona-Lasinio模型,它是基于非广延统计力学。这种新的统计特征是由一个无量纲的nonextensivity参数$q$,占所有可能的影响违反了玻尔兹曼-吉布斯(BG)统计的假设(当$q\rightarrow1$,它返回到BG的情况)。基于非广延的Polyakov-Nambu-Jona-Lasinio模型,讨论了非广延效应对QCD相变的影响,特别是对临界端点(CEP)位置的影响.我们发现了一个有趣的新现象:随着$q$的增加,CEP位置开始向更大的化学势和更低的温度方向移动。但是,当$q$大于临界值$q_{c}$时,CEP位置沿相反方向移动。换句话说,随着$q$的增加,CEP位置向更小的化学势和更高的温度的方向移动。此外,我们计算了非广延效应对临界指数的影响,发现它们几乎保持恒定的$q$。

英文摘要:

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 $q$.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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