Possibility of automatic Pauli-Villars-like regularization through extra dimensions

TL;DR

This paper explores a model with extra dimensions and reflection symmetries that inherently provides a Pauli-Villars-like regularization mechanism, potentially simplifying quantum field theory regularization.

Contribution

It introduces a novel extra-dimensional framework where only one Kaluza-Klein mode is observed at large scales, naturally implementing a Pauli-Villars-like regularization.

Findings

At large scales, only one Kaluza-Klein mode is observed.

At small scales, all modes become observable.

The model suggests an inherent regularization mechanism.

Abstract

Fermions in a space with some extra dimensional reflection symmetries are considered. In this space only one Kaluza-Klein mode is observed at the scales larger than the sizes of the extra dimensions while at the smaller scales all modes become observable. The resulting picture suggests that this model has a built-in Pauli-Villars-like regularization as its inherent characteristic.