Non-Extensive Behaviour of the QCD Strong Coupling Constant

Javidan, K.; Yazdanpanah, M. M.; Nematollahi, H.

doi:10.48550/arxiv.2003.06859

Cited by 3 publications

(3 citation statements)

References 42 publications

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“…From among the model systems, Refs. [23,24] show in a very clear manner that due to a break in ergodicity, the system has crossed from BG statistics to Tsallis statistics. In addition, a study of the nonextensive behavior of the QCD strong coupling constant is described in Ref.…”

Section: Introductionmentioning

confidence: 99%

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

Zhao

Zuo

2021

Chinese Phys. C

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We present a nonextensive version of the Polyakov-Nambu-Jona-Lasinio model that is based on nonextentive statistical mechanics. This new statistics model is characterized by a dimensionless nonextensivity parameter q that accounts for all possible effects violating the assumptions of the Boltzmann-Gibbs (BG) statistics (for , it returns to the BG case). Based on the nonextensive Polyakov-Nambu-Jona-Lasinio model, we discussed the influence of nonextensive effects on the curvature of the phase diagram at and especially on the location of the critical end point (CEP). A new and interesting phenomenon we found is that with an increase in q, the CEP position initially shifts toward the direction of larger chemical potential and lower temperature. However, when q is larger than a critical value , 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. This U-turn phenomenon may be important for the search of CEP in relativistic heavy-ion collisions, in which the validity of BG statistics is questionable due to strong fluctuations and long-range correlations, and nonextensive effects begin to manifest themselves. 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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Section: Introductionmentioning

confidence: 99%

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

Zhao

Zuo

2021

Chinese Phys. C

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“…It may be possible that for dense systems, beyond the zeroth order terms become important. One more notable application will be to revisit the non-extensive behaviour of the QCD strong coupling studied in [25]. This paper uses the expression of the non-extensive QCD coupling derived in [26] using the phenomenological quantum Tsallis distributions and successfully treats the deviation between the theoretical and experimental results at low energy.…”

Section: Summary Conclusion and Outlookmentioning

confidence: 99%

Analytical Results for the Classical and Quantum Tsallis Hadron Transverse Momentum Spectra: the Zeroth Order Approximation and beyond

Bhattacharyya,

Parvan

2020

Preprint

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We derive the analytical expressions for the first and second order terms in the hadronic transverse momentum spectra obtained from the Tsallis normalized (Tsallis-1) statistics. We revisit the zeroth order quantum Tsallis distributions and obtain the corresponding analytical closed form expressions. It is observed that unlike the classical case, the analytical closed forms of the zeroth order quantum spectra do not resemble the phenomenological distributions used in the literature after q → q −1 substitution, where q is the Tsallis entropic parameter. However, the factorization approximation increases the extent of similarity.

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“…[33] experimentally validate a particular case of the nonextensive scaling law in confined granular media. In addition, it is interesting that Ref [37] studies the nonextensive effects of the QCD running coupling constant α s , and successfully dealt with the inconsistency between the theory and experiment in the non-perturbation region. Finally, more about Tsallis' statistics and its diverse applications can be found in Ref.…”

Section: Introductionmentioning

confidence: 99%

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

Zhao,

Zuo,

2020

Preprint

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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.

show abstract

Non-Extensive Behaviour of the QCD Strong Coupling Constant

Cited by 3 publications

References 42 publications

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

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

Analytical Results for the Classical and Quantum Tsallis Hadron Transverse Momentum Spectra: the Zeroth Order Approximation and beyond

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

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