scholarly journals Bose–Einstein condensation and chiral phase transition in linear sigma model

2005 ◽  
Vol 31 (5) ◽  
pp. 459-470 ◽  
Author(s):  
Song Shu ◽  
Jia-Rong Li
Keyword(s):  
Phase Transition ◽  
Sigma Model ◽  
Linear Sigma Model ◽  
Einstein Condensation ◽  
Chiral Phase ◽  
Chiral Phase Transition ◽  
Bose Einstein Condensation ◽  
Bose Einstein

scholarly journals On the chiral phase transition in the linear sigma model

2004 ◽  
Vol 19 (3) ◽  
pp. 359-365 ◽  
Author(s):  
Tran Huu Phat ◽  
Nguyen Tuan Anh ◽  
Le Viet Hoa
Keyword(s):  
Phase Transition ◽  
Sigma Model ◽  
Linear Sigma Model ◽  
Chiral Phase ◽  
Chiral Phase Transition

scholarly journals Chiral Phase Transition in Linear Sigma Model with Nonextensive Statistical Mechanics

2017 ◽  
Vol 2017 ◽  
pp. 1-7 ◽  
Author(s):  
Ke-Ming Shen ◽  
Hui Zhang ◽  
De-Fu Hou ◽  
Ben-Wei Zhang ◽  
En-Ke Wang
Keyword(s):  
Phase Transition ◽  
Phase Diagram ◽  
Statistical Mechanics ◽  
Sigma Model ◽  
Chemical Potential ◽  
Linear Sigma Model ◽  
Nonextensive Statistical Mechanics ◽  
Chiral Phase ◽  
Chiral Phase Transition ◽  
Lower Temperature

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.

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