Some Applications of the Overlap Formalism

TL;DR

This paper applies the overlap formalism to study the massless vector Schwinger model with multiple flavors on the lattice, using Monte Carlo simulations to compute fermion condensates that match continuum solutions.

Contribution

It demonstrates the effectiveness of the overlap formalism in lattice simulations of the Schwinger model with multiple flavors, aligning lattice results with continuum theory.

Findings

Fermion condensate values agree with continuum solutions

Overlap formalism successfully applied to multi-flavor Schwinger model

Monte Carlo simulations validate theoretical predictions

Abstract

The massless vector Schwinger model with $N_f=1,2,3,4$ number of flavors is studied on the lattice using the overlap formalism. A full Monte Carlo simulation yields values for the bilinear fermion condensate that are in agreement with the exact solution of the continuum Schwinger model with an added Thirring interaction.