Vacuum Properties of a Nonlocal Thirring-Like Model

Abstract

We use path-integral methods to analyze the vacuum properties of a recently proposed extension of the Thirring model in which the interaction between fermionic currents is nonlocal. We calculate the exact ground state wave functional of the model for any bilocal potential, and also study its long-distance behavior. We show that the ground state wave functional has a general factored Jastrow form. We also find that it possesses an interesting symmetry involving the interchange of density–density and current–current interactions.