On the Large Mass Limit of the Continuum Theories in Kaplan's Formulation

TL;DR

This paper investigates the continuum limit of Kaplan's domain-wall approach for chiral fermions, demonstrating gauge invariance of the effective action in anomaly-free cases through explicit one-loop calculations.

Contribution

It provides an explicit evaluation of the continuum analog of Kaplan's domain-wall construction for chiral models, highlighting gauge invariance in the large mass limit.

Findings

Effective action is gauge invariant for anomaly-free models.

Explicit one-loop calculations confirm continuum limit behavior.

The approach offers insights into chiral fermion simulations.

Abstract

Being inspired by Kaplan's proposal for simulating chiral fermions on a lattice, we examine the continuum analog of his domain-wall construction for two-dimensional chiral Schwinger models. Adopting slightly unusual dimensional regularization, we explicitly evaluate the one-loop effective action in the limit that the domain-wall mass goes to infinity. For anomaly-free cases, the effective action turns out to be gauge invariant in two-dimensional sense.