Massless QED_3 with explicit fermions

TL;DR

This paper investigates dynamical mass generation in (2+1)-dimensional QED using Hamiltonian lattice methods with explicit fermions, demonstrating a new approach to mitigate the fermion sign problem and validating results against established methods.

Contribution

It introduces a novel method to reduce the fermion sign problem in Hamiltonian lattice simulations of QED_3 with explicit fermions, achieving results consistent with previous studies.

Findings

Successful application of sign problem reduction technique

Agreement with strong coupling expansion results

Consistency with Euclidean lattice simulations

Abstract

We study dynamical mass generation in QED in (2+1) dimensions using Hamiltonian lattice methods. We use staggered fermions, and perform simulations with explicit dynamical fermions in the chiral limit. We demonstrate that a recently developed method to reduce the fermion sign problem can successfully be applied to this problem. Our results are in agreement with both the strong coupling expansion and with Euclidean lattice simulations.