Effect of $U_A(1)$ Breaking on Chiral Phase Structure and Pion Superfluidity at Finite Isospin Chemical Potential

Abstract

We investigate the isospin chemical potential effect in the frame of SU(2) Nambu-Jona-Lasinio model. When the isospin chemical potential is less than the vacuum pion mass, the phase structure with two chiral phase transition lines does not happen due to $U_A(1)$ breaking of QCD. When the isospin chemical potential is larger than the vacuum pion mass, the ground state of the system is a Bose-Einstein condensate of charged pions.

Talk presented at Conference on Non-Perturbative Quantum Field Theory: Lattice and Beyond, Guangzhou, China, Dec.16--18, 2004; v2: error corrected

References in corpus (3)

• Pion Superfluidity and Meson Properties at Finite Isospin Density
• Phase Structure of Nambu-Jona-Lasinio Model at Finite Isospin Density
• Pion Condensation in Baryonic Matter: from Sarma Phase to Larkin-Ovchinnikov-Fudde-Ferrell Phase

Cited by in corpus (7)

• BEC-BCS Crossover in the Nambu--Jona-Lasinio Model of QCD
• Thermodynamics of the PNJL model with nonzero baryon and isospin chemical potentials
• Charged pion condensation in dense quark matter: Nambu--Jona-Lasinio model study
• Topological susceptibility, divergent chiral density and phase diagram of chirally imbalanced QCD medium at finite temperature
• Enhancement of Chiral Symmetry Breaking from the Pion condensation at finite isospin chemical potential in a holographic QCD model
• Fate of chiral critical point under the strong isospin asymmetry
• Equation of state in the pion condensation phase in the asymmetric nuclear matter using a holographic QCD model