The massless Thirring model in spherical field theory

TL;DR

This paper introduces a novel non-perturbative spherical field approach to the massless Thirring model, effectively addressing fermion doubling issues and validating results with known analytic solutions.

Contribution

It presents a new non-perturbative regularization method for fermion calculations that overcomes common computational challenges.

Findings

Agreement with known analytic two-point correlator

Addresses fermion doubling problems

Demonstrates effectiveness of spherical field formalism

Abstract

We use the massless Thirring model to demonstrate a new approach to non-perturbative fermion calculations based on the spherical field formalism. The methods we present are free from the problems of fermion doubling and difficulties associated with integrating out massless fermions. Using a non-perturbative regularization, we compute the two-point correlator and find agreement with the known analytic solution.