Nonextensive effects on QCD chiral phase diagram and baryon-number fluctuations within Polyakov-Nambu-Jona-Lasinio model

In this paper, a version of the Polyakov-Nambu-Jona-Lasinio (PNJL) model based on nonextensive statistical mechanics is presented. This new statistics summarizes all possible factors that violate the assumptions of the Boltzmann-Gibbs (BG) statistics to a dimensionless nonextensivity parameter \(q\)...

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Bibliographic Details
Published in:arXiv.org 2023-02
Main Authors: Ya-Peng, Zhao, Chao-Yong, Wang, Shu-Yu, Zuo, Cheng-Ming, Li
Format: Article
Language:English
Subjects:
Baryons
Chemical potential
Kurtosis
Phase diagrams
Quarks
Statistical mechanics
Online Access:Get full text
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Summary:In this paper, a version of the Polyakov-Nambu-Jona-Lasinio (PNJL) model based on nonextensive statistical mechanics is presented. This new statistics summarizes all possible factors that violate the assumptions of the Boltzmann-Gibbs (BG) statistics to a dimensionless nonextensivity parameter \(q\), and when \(q\) tends to 1, it returns to the BG case. Within the nonextensive PNJL model, we found that as \(q\) increases, the location of the critical end point (CEP) exhibits non-monotonic behavior. That is, for \(q1.15\), CEP turns to move in the direction of lower temperature and lower quark chemical potential. In addition, we studied the moments of the net-baryon number distribution, that is, the variance (\(\sigma^{2}\)), skewness (S), and kurtosis (\(\kappa\)). Our results are generally consistent with the latest experimental data, especially for \(\sqrt{S_{NN}}>19.6\ \mathrm{GeV}\), when \(q\) is set to \(1.07\).
ISSN:2331-8422
DOI:10.48550/arxiv.2302.12010