Bosonized massiveN-flavour Schwinger model

Abstract

The massive N-flavour Schwinger model is analysed by the bosonization method. The problem is reduced to the quantum mechanics of N degrees of freedom in which the potential needs to be self-consistently determined by its ground-state wavefunction and spectrum with given values of the parameter, fermion masses, and temperature. Boson masses and fermion chiral condensates are evaluated. In the N = 1 model the anomalous behaviour is found at and . In the N = 3 model an asymmetry in fermion masses removes the singularity at and T = 0. The chiral condensates at are insensitive to the asymmetry in fermion masses, but are significantly sensitive at . The resultant picture is similar to that obtained in QCD by the chiral Lagrangian method.