The condensation of the matter in the linear sigma model of the two-component mixing system

Abstract

The paper examines the phenomenon of condensation in the two-component mixing system based on the linear sigma field theory model. The expression of Corwall-Jakiw-Tomboulis (CJT) effective potential is obtained in HF approximation and thereby leaded to gap equations for condensate density and SD equations for the generators. The numerical results show that two condensation scenarios can exist in only one type or both types of condensation (but not simultaneously) depending on the effect of temperature or chemical potential. These condensation processes belong to the phase transition of second order whether condensation is due to thermal effects or due to quantum effects