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Advances in High Energy Physics
Volume 2017, Article ID 4135329, 7 pages
https://doi.org/10.1155/2017/4135329
Research Article

Chiral Phase Transition in Linear Sigma Model with Nonextensive Statistical Mechanics

Key Laboratory of Quark & Lepton Physics (MOE) and Institute of Particle Physics, Central China Normal University, Wuhan 430079, China

Correspondence should be addressed to Ben-Wei Zhang; nc.ude.uncc.liam@gnahzwb

Received 9 September 2017; Accepted 7 November 2017; Published 29 November 2017

Academic Editor: Edward Sarkisyan-Grinbaum

Copyright © 2017 Ke-Ming Shen et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.

Abstract

From the nonextensive statistical mechanics, we investigate the chiral phase transition at finite temperature and baryon chemical potential in the framework of the linear sigma model. The corresponding nonextensive distribution, based on Tsallis’ statistics, is characterized by a dimensionless nonextensive parameter, , and the results in the usual Boltzmann-Gibbs case are recovered when . The thermodynamics of the linear sigma model and its corresponding phase diagram are analysed. At high temperature region, the critical temperature is shown to decrease with increasing from the phase diagram in the plane. However, larger values of cause the rise of at low temperature but high chemical potential. Moreover, it is found that different from zero corresponds to a first-order phase transition while to a crossover one. The critical endpoint (CEP) carries higher chemical potential but lower temperature with increasing due to the nonextensive effects.