Spectrum of the 2-Flavor Schwinger Model from the Heisenberg Spin Chain

TL;DR

This paper maps the strongly coupled 2-flavor lattice Schwinger model to a Heisenberg spin chain, providing insights into its low-energy spectrum and confirming agreement with continuum predictions.

Contribution

It establishes a novel equivalence between the lattice Schwinger model and the Heisenberg spin chain in the strong coupling limit.

Findings

Good agreement with continuum theory results

Low-lying states correspond to antiferromagnetic spin chain states

Provides a new computational approach for the model

Abstract

We study the strong coupling limit of the 2-flavor lattice Schwinger model in the Hamiltonian formalism using staggered fermions. We show that the problem of finding the low-lying states is equivalent to solving the Heisenberg antiferromagnetic spin chain. We find good agreement with the continuum theory.