Chiral Phase Transition in Linear Sigma Model with Nonextensive Statistical Mechanics

From the nonextensive statistical mechanics, we investigate the chiral phase transition at finite temperature T and baryon chemical potential μB in the framework of the linear sigma model. The corresponding nonextensive distribution, based on Tsallis’ statistics, is characterized by a dimensionless...

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Bibliographic Details
Published in:Advances in high energy physics 2017-01, Vol.2017 (2017), p.1-7
Main Authors: Zhang, Ben-Wei, Hou, De-fu, Zhang, Hui, Shen, Ke-Ming, Wang, En-Ke
Format: Article
Language:English
Subjects:
Baryons
Chemical potential
Critical temperature
Nuclear physics
Particle physics
Phase diagrams
Phase transitions
Quarks
Relativism
Statistical mechanics
Studies
Symmetry
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Summary:From the nonextensive statistical mechanics, we investigate the chiral phase transition at finite temperature T and baryon chemical potential μB in the framework of the linear sigma model. The corresponding nonextensive distribution, based on Tsallis’ statistics, is characterized by a dimensionless nonextensive parameter, q, and the results in the usual Boltzmann-Gibbs case are recovered when q→1. The thermodynamics of the linear sigma model and its corresponding phase diagram are analysed. At high temperature region, the critical temperature Tc is shown to decrease with increasing q from the phase diagram in the (T,μ) plane. However, larger values of q cause the rise of Tc at low temperature but high chemical potential. Moreover, it is found that μ different from zero corresponds to a first-order phase transition while μ=0 to a crossover one. The critical endpoint (CEP) carries higher chemical potential but lower temperature with q increasing due to the nonextensive effects.
ISSN:1687-7357
1687-7365
DOI:10.1155/2017/4135329