Chiral symmetry breaking in (2+1) dimensional QED

TL;DR

This paper investigates dynamical mass generation in (2+1)D QED using Hamiltonian lattice methods, demonstrating the effectiveness of a new sign problem reduction technique and confirming results with established approaches.

Contribution

It introduces a new method to reduce the fermion sign problem in Hamiltonian lattice simulations of (2+1)D QED and validates its effectiveness.

Findings

Method successfully reduces the fermion sign problem.

Results agree with strong coupling expansion.

Results agree 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.