Pion superfluid phase transition at finite isospin chemical potential

Abstract

The pion superfluidity phase transition at T − µI and µq − µI planes are studied in the framework of Dyson-Schwinger equations. The rainbow truncation and Gaussian effective gluon propagator are employed to calculate pion condensate, π , as a function of µI at finite T and µq. At T = (0, 80, 113, 120) MeV, the π keeps zero when µI is less than a critical value µIc(T ). The π at T = 113 MeV agrees with the lattice QCD result. At the T − µI plane, the pion superfluid phase appears at low temperature and high isospin chemical potential region. At finite µq, π varying with µI almost coincide for µq < 400 MeV. At µq − µI plane, the pion superfluid phase appears at µI > ∼ mπ when µq < 400 MeV.