VACUUM PROPERTIES OF A NONLOCAL THIRRING-LIKE MODEL

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