QCD chiral phase transition and critical exponents within the nonextensive Polyakov-Nambu-Jona-Lasinio model *

Zhao, Ya-Peng; Zuo, Shu-Yu; Li, Chengming

doi:10.1088/1674-1137/abf8a2

“…Therefore, in this study, we mainly focused on . This is also the typical region of q values found by high-energy collisions [37][38][39][40]. In addition, there are no nonextensive effects at low temperature.…”

Section: ω Qsupporting

confidence: 60%

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

Zhao

¹

,

Wang

²

,

Zuo

³

et al. 2023

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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 $q<1.15$, CEP moves in the direction of lower temperature and larger quark chemical potential. But for $q>1.15$, 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 $1.07$. Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. Article funded by SCOAP3 and published under licence by Chinese Physical Society and the Institute of High Energy Physics of the Chinese Academy of Science and the Institute of Modern Physics of the Chinese Academy of Sciences and IOP Publishing Ltd.

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“…The numerical results are shown in Table III. This non-monotonic behavior also appeared in our previous article [41]. However, compared with Ref.…”

Section: Qcd Phase Transition and Baryon-number Susceptibilities With...supporting

confidence: 86%

“…However, compared with Ref. [41], the quantitative difference is significant. This is because for q = 1, the coupling constant G(Φ) doubles the value of T c , and the nonextensive effects become more pronounced only for sufficiently high temperatures.…”

Section: Qcd Phase Transition and Baryon-number Susceptibilities With...mentioning

confidence: 68%

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

Zhao¹,

Wang²,

Zuo³

et al. 2023

Preprint

0

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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 q < 1.15, CEP moves in the direction of lower temperature and larger quark chemical potential. But for q > 1.15, 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 (σ 2 ), skewness (S), and kurtosis (κ). Our results are generally consistent with the latest experimental data, especially for √ SNN > 19.6 GeV, when q is set to 1.07.

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“…The limit q → 1 recovers the extensive theory. Among the applications, that involving the critical behavior of nonextensive systems undergoing continuous phase transitions have attracted great attention in recent years [13][14][15][16][17][18][19]. It was discovered some qualitative agreement between the critical behavior of real systems as the so-called manganites, e.g.…”

mentioning

confidence: 99%

Nonextensive statistical field theory

Carvalho

2021

Preprint

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We introduce a field-theoretic approach for describing the critical behavior of nonextensive systems, systems displaying global correlations among their degrees of freedom, encoded by the nonextensive parameter q. As some applications, we report, to our knowledge, the first analytical computation of both universal static and dynamic q-dependent nonextensive critical exponents for O(N ) vector models, valid for all loop orders and |q − 1| < 1. Then emerges the new nonextensive O(N )q universality class. We employ six independent methods which furnish identical results. Particularly, the results for nonextensive 2d Ising systems, exact within the referred approximation, agree with that obtained from computer simulations, within the margin of error, as better as q is closer to 1. We argue that the present approach can be applied to all models described by extensive statistical field theory as well. The results show an interplay between global correlations and fluctuations.

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QCD chiral phase transition and critical exponents within the nonextensive Polyakov-Nambu-Jona-Lasinio model *

Cited by 7 publications

References 62 publications

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

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

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

Nonextensive statistical field theory

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