Isospin effects on the chiral phase transition

Abstract

We discuss the chiral and pion-superfluidity phase transitions at finite isospin chemical potential within the framework of Dyson–Schwinger equations. With the help of the quark scalar and pseudo-scalar condensates, which are widely accepted as order parameters of chiral and pion-superfluidity phase transitions respectively, we show that there is a second-order phase transition at isospin chemical potential μ I ∼ m π . Thereafter, we investigate the isospin effects on the chiral phase transition and on the critical point as well as the critical end point (CEP). The chiral phase transition line splits into two lines at finite μ I , and the CEP splits into two CEPs as well.