Chiral symmetry breaking in lattice brane QED model

TL;DR

This paper introduces a lattice QED model with 2+1D fermion branes to study spontaneous chiral symmetry breaking, providing numerical evidence for phase transition behavior relevant to graphene's electronic properties.

Contribution

It presents a novel lattice calculation method for chiral symmetry breaking in a 2+1D fermion brane QED model, including Monte Carlo simulations with a realistic Fermi velocity.

Findings

Evidence of chiral symmetry breaking in strong coupling regime

Observation of Nambu-Goldstone bosons associated with symmetry breaking

Potential application to understanding graphene's phase structure

Abstract

We propose a novel lattice calculation of spontaneous chiral symmetry breaking in QED model with 2+1 dimensional fermion brane. Considering the relativistic action with gauge symmetry we rigorously carry out path integral in Monte-Carlo simulation with Fermi-velocity relevant to effective coupling constant. We numerically show the evidence of spontaneous chiral symmetry breaking in strong coupling region with chiral condensate, low-lying mode distribution and Nambu-Goldstone boson spectrum in bare Fermi-velocty $v=0.1$. This is a feasible study to investigate the phase structure of Graphene.