Functional integral formulation of the Thirring model with two fermion species - art. no. 065009

A two-dimensional Abelian model with quartic interaction among two species of Fermi fields is analyzed through a functional integral formulation. We c onsider the bosonization of the generating functional of the model in order to establish the fermion-boson mapping in the Hilbert space of states. The grand partition function of the statistical mechanical system associated w ith the effective bosonized theory is obtained and the corresponding exact equation of state exhibits a critical line characterizing a Kosterlitz-Thou less phase transition.