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Nonextensive effects on QCD chiral phase diagram and baryon-number fluctuations within polyakov-nambu-jona-lasinio model

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Chinese Physics C 2023年第5期47卷 66-72页

作者：赵亚鹏王朝勇左淑毓李程明 School of Mathematics and Physics Henan University of Urban ConstructionPingdingshan 467036China Henan Provincial Engineering Laboratory of Building-Photovoltaics Pingdingshan 467036China College of Science Henan University of TechnologyZhengzhou 450000China School of Physics and Microelectronics Zhengzhou UniversityZhengzhou 450001China

In this paper,a version of the polyakov-nambu-jona-lasinio(PNJL)model based on nonextensive statistical mechanics is *** new statistics summarizes all possible factors that violate the assumptions of the Boltzmann-Gibbs(BG)statistics to a dimensionless nonextensivity parameter ***,when q tends to 1,it returns to the BG *** the nonextensive PNJL model,we found that as q increases,the location of the critical end point(CEP)exhibits non-monotonic *** is,for q1.15,CEP turns to move in the direction of lower temperature and lower quark chemical *** addition,we studied the moments of the net-baryon number distribution,that is,variance(σ^(2)),skewness(S),and kurtosis(k).Our results are generally consistent with the latest experimental data reported,especially for√SNN>19.6 GeV,when q is set to 1.07.

关键词： nonextensive statistics polyakov-nambu-jona-lasinio model QCD phase diagram baryonnumber fluctuations

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QCD chiral phase transition and critical exponents within the nonextensive polyakov-nambu-jona-lasinio model

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Chinese Physics C 2021年第7期45卷 65-73页

作者： Ya-Peng Zhao Shu-Yu Zuo Cheng-Ming Li Collage of Physics and Electrical Engineering Anyang Normal UniversityAnyang 455000China College of Science Henan University of TechnologyZhengzhou 450000China School of Physics and Microelectronics Zhengzhou UniversityZhengzhou 450001China

We present a nonextensive version of the polyakov-nambu-jona-lasinio model that is based on nonextentive statistical *** 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 q→ 1,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 μ=0 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 ***,when q is larger than a critical value qc,the CEP position moves in the opposite *** other words,as q increases,the CEP position moves in the direction of smaller chemical potential and higher *** 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 *** addition,we calculated the influence of the nonextensive effects on the critical exponents and found that they remain almost constant with q.

关键词： nonextensive statistics polyakov-nambu-jona-lasinio model QCD chiral phase

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Nonextensive effects on QCD chiral phase transition with a chiral chemical potential

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Chinese Physics C 2022年第10期46卷 98-106页

作者： Ya-Peng Zhao Shu-Yu Zuo Cheng-Ming Li School of Mathematics and Physics Henan Urban Construction UniversityPingdingshan 467036China College of Science Henan University of TechnologyZhengzhou 450000China School of Physics and Microelectronics Zhengzhou UniversityZhengzhou 450001China

In this study,we investigate the QCD chiral phase diagram in the presence of a chiral chemical potential μ based on nonextensive statistical mechanics.A feature of this new statistic is a dimensionless nonextensivity parameter q,which summarizes all possible effects violating the assumptions of Boltzmann-Gibbs(BG)statistics(when q→1,it returns to the BG case).Within the nonextensive polyakov-nambu-jona-lasinio model,we find that as μ increases,the critical end point(CEP)in the T-μ plane continues to CEP_(5)in the T-μ plane,and nonextensive effects have a significant impact on the evolution from the CEP to CEP_(5).Generally,with an increase in q,both the CEP and CEP_(5)move in the direction of a lower temperature T and larger chemical potentialμ(μ_(5)).In addition,we find that chiral charge density ngenerally increases with T,μ,μ_(5),and *** study may provide useful hints about lattice QCD and relativistic heavy-ion collision experiments.

关键词： nonextensive statistics polyakov-nambu-jona-lasinio model QCD phase diagram chiral chemical potential

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