Renormalization Group Flow in non-compact QED with two charged staggered Fermions

TL;DR

This study explores the phase structure and renormalization properties of a non-compact QED model with two types of staggered fermions, revealing symmetry breaking and agreement with perturbation theory.

Contribution

It provides the first detailed analysis of chiral symmetry breaking and renormalized charge behavior in a non-compact QED model with multiple fermion charges.

Findings

Chiral symmetry breaking occurs at different beta values for the two fermion types.

Renormalized charges align with one-loop perturbation theory predictions.

Surfaces of constant renormalized charge are mapped in parameter space.

Abstract

We have investigated a system with two sets of staggered fermions with charges 1 and -1/2 coupling to a non-compact U(1) gauge field in 4 dimensions. The model exhibits breaking of chiral symmetries of both fermions at different values of beta. Chiral condensates, renormalized fermion masses and renormalized charges have been measured. The renormalized charges show agreement with one-loop perturbation theory. We examine surfaces of constant renormalized charges in the space of bare parameters.