QED$_3$ on a space-time lattice: compact versus noncompact formulation

TL;DR

This paper compares compact and noncompact lattice formulations of (2+1)D quantum electrodynamics with two fermion flavors, analyzing chiral and monopole properties to assess their equivalence in the continuum limit.

Contribution

It provides a numerical comparison of the two lattice formulations, exploring their behavior and potential equivalence in the continuum limit.

Findings

Similar chiral condensate behavior in both formulations

Monopole density trends suggest possible equivalence

Insights into lattice discretization effects on QED3

Abstract

We study quantum electrodynamics in a (2+1)-dimensional space-time with two flavors of dynamical fermions by numerical simulations on the lattice. We discretize the theory using both the compact and the noncompact formulations and analyze the behavior of the chiral condensate and of the monopole density in the finite lattice regime as well as in the continuum limit. By comparing the results obtained with the two approaches, we draw some conclusions about the possible equivalence of the two lattice formulations in the continuum limit.