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Home > Advances in High Energy Physics (Hindawi) > Chiral Phase Transition in Linear Sigma Model with Nonextensive Statistical Mechanics |

Zhang, Ben-Wei (Key Laboratory of Quark & Lepton Physics (MOE) and Institute of Particle Physics, Central China Normal University, Wuhan 430079, China) ; Shen, Ke-Ming (Key Laboratory of Quark & Lepton Physics (MOE) and Institute of Particle Physics, Central China Normal University, Wuhan 430079, China) ; Zhang, Hui (Key Laboratory of Quark & Lepton Physics (MOE) and Institute of Particle Physics, Central China Normal University, Wuhan 430079, China) ; Hou, De-Fu (Key Laboratory of Quark & Lepton Physics (MOE) and Institute of Particle Physics, Central China Normal University, Wuhan 430079, China) ; Wang, En-Ke (Key Laboratory of Quark & Lepton Physics (MOE) and Institute of Particle Physics, Central China Normal University, Wuhan 430079, China)

29 November 2017

**Abstract: **From the nonextensive statistical mechanics, we investigate the chiral phase transition at finite temperature $T$ and baryon chemical potential ${\mu}_{B}$ 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 $q\to \mathrm{1}$ . The thermodynamics of the linear sigma model and its corresponding phase diagram are analysed. At high temperature region, the critical temperature ${T}_{c}$ is shown to decrease with increasing $q$ from the phase diagram in the $(T,\mu )$ plane. However, larger values of $q$ cause the rise of ${T}_{c}$ at low temperature but high chemical potential. Moreover, it is found that $\mu $ different from zero corresponds to a first-order phase transition while $\mu =\mathrm{0}$ to a crossover one. The critical endpoint (CEP) carries higher chemical potential but lower temperature with $q$ increasing due to the nonextensive effects.

**Published in: ****Advances in High Energy Physics 2017 (2017) 4135329**
**Published by: **Hindawi

**DOI: **10.1155/2017/4135329

**arXiv: **1707.02735

**License: **CC-BY-3.0