Radiative corrections in 5D and 6D expanding in winding modes

TL;DR

This paper develops a method using winding modes in mixed space to compute radiative corrections in 5D and 6D theories, revealing UV divergences, finite parts, and localized effects, with applications to scalar masses and extra dimension stabilization.

Contribution

It introduces a novel approach using winding modes in mixed space for calculating radiative corrections in higher-dimensional theories.

Findings

Computed finite scalar mass corrections.

Identified logarithmic contributions to couplings.

Demonstrated stabilization of large extra dimensions.

Abstract

We compute radiative corrections in five and six dimensional field theories, using winding modes in mixed momentum-coordinate space. This method provides a simple way of finding UV divergencies, finite corrections and localized terms when the space is compactified on orbifolds. As an application we compute the finite piece of scalar masses, the logarithmic contributions to the couplings and the effect of localized parallel and perpendicular kinetic terms. We apply it to get a two loop effective potential that can stabilize large extra dimensions.