Vacuum properties of a Non-Local Thirring-Like Model

Details Vacuum properties of a Non-Local Thirring-Like Model Vacuum properties of a Non-Local Thirring-Like Model

1997-05-12

arxiv.org/abs/hep-th/9705077v1

Int.J.Mod.Phys. A13 (1998) 1169-1190

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, latex, no figures

Scientific paper

10.1142/S0217751X98000536

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.

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