Chiral zero modes in non local domain walls

TL;DR

This paper extends the Callan-Harvey mechanism to non local masses, demonstrating the existence and properties of zero modes in a 2+1D model, including effects of radiative corrections.

Contribution

It introduces a framework for analyzing chiral zero modes with non local masses, showing how they naturally emerge from radiative corrections in a 2+1D setting.

Findings

Zero modes can be studied with non local masses.

Non local masses arise from radiative corrections.

Zero mode of the non local Dirac operator is evaluated.

Abstract

We study a generalization of the Callan-Harvey mechanism to the case of a non local mass. Using a 2+1 model as a concrete example, we show that both the existence and properties of localized zero modes can also be consistently studied when the mass is non local. After dealing with some general properties of the resulting integral equations, we show how non local masses naturally arise when radiative corrections are included. We do that for a 2+1 dimensional example, and also evaluate the zero mode of the resulting non local Dirac operator.