The chiral limit of non-compact QED(3)

TL;DR

This study investigates the chiral symmetry breaking in non-compact QED(3) with multiple fermion flavors using numerical simulations, focusing on effects of lattice size and gauge coupling near the chiral limit.

Contribution

It provides the first detailed numerical analysis of chiral symmetry breaking in non-compact QED(3) for N_f ≥ 2, including bounds on the chiral condensate.

Findings

Upper bound for the condensate: 5x10^{-5} for N_f=2

Finite size and discretization effects are carefully analyzed

Chiral symmetry breaking features are characterized near the chiral limit

Abstract

Non-compact QED(3) with four-component fermion flavor content larger than or equal to two is studied numerically near the chiral limit to understand its chiral symmetry breaking features. We monitor discretization and finite size effects on the chiral condensate by simulating the model at different values of the gauge coupling on lattices ranging in size from 10^3 to 50^3. Our upper bound for the dimensionless condensate beta^2<psibarpsi> in the N_f=2 case is 5x10^{-5}.