Bulk fields with general brane kinetic terms

TL;DR

This paper investigates how general brane kinetic terms affect bulk fields in extra-dimensional theories, revealing singular behaviors due to divergences that can be mitigated through classical renormalization.

Contribution

It provides a detailed analysis of the impact of brane kinetic terms on bulk fields, highlighting the singularities and proposing a classical renormalization approach to address them.

Findings

Singular behavior occurs with derivatives orthogonal to the brane.

$ ext{delta}(0)$ divergences arise at higher-order perturbations.

Classical renormalization can smooth out the divergences.

Abstract

We analyse the effect of general brane kinetic terms for bulk scalars, fermions and gauge bosons in theories with extra dimensions, with and without supersymmetry. We find in particular a singular behaviour when these terms contain derivatives orthogonal to the brane. This is brought about by $\delta(0)$ divergences arising at second and higher order in perturbation theory. We argue that this behaviour can be smoothed down by classical renormalization.