Zero modes in non local domain walls

TL;DR

This paper extends the Callan-Harvey mechanism to non-local mass terms in fermionic actions, demonstrating the existence and properties of zero modes in such non-local domain walls through theoretical analysis and a specific 2+1-dimensional example.

Contribution

It introduces a generalized framework for analyzing zero modes in non-local fermionic actions, expanding the understanding of domain wall phenomena.

Findings

Zero modes can exist in non-local mass configurations.

Properties of zero modes are consistent with local case predictions.

Integral equations characterize zero mode behavior in non-local models.

Abstract

We generalize the Callan-Harvey mechanism to the case of actions with a non local mass term for the fermions. Using a 2+1-dimensional 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. We derive some general properties from a study of the resulting integral equations, and consider their realization in a concrete example.