Vacuum properties of a Non-Local Thirring-Like Model

TL;DR

This paper investigates the vacuum properties of a non-local extension of the Thirring model using path-integral methods, deriving the exact ground state wave functional and exploring its symmetry and long-distance behavior.

Contribution

It provides the first exact ground state wave functional for a non-local Thirring-like model and uncovers a novel symmetry involving density and current interactions.

Findings

Ground state wave functional has a factored Jastrow form

Identifies a symmetry between density-density and current-current interactions

Analyzes long-distance behavior of the 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 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.