Vacuum properties of a non-local Thirring model

D. G. BARCI; C. M. NAÓN

INTERNATIONAL JOURNAL OF MODERN PHYSICS A

World Scientific

Año: 1998 vol. 13 p. 1169 - 1190

0217-751X

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 non-local. 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 posess an interesting symmetry involving the interchange of density-density and current-current interactions.