Spin and a Running Radius in RS1

TL;DR

This paper introduces a renormalization group formalism for the Randall-Sundrum model, treating the extra-dimensional radius as a scale parameter, and applies it to gauge theories and gravity to derive effective low-energy theories.

Contribution

It develops a novel RG approach for warped extra dimensions, linking the radius to scale evolution and deriving effective theories for gauge fields and gravity.

Findings

RG flow of couplings with changing radius

Effective low-energy theories for gauge and gravity sectors

Insights into scale dependence in warped extra-dimensional models

Abstract

We develop a renormalization group formalism for the compactified Randall-Sundrum scenario wherein the extra-dimensional radius serves as the scaling parameter. Couplings on the hidden brane scale as we move within local effective field theories with varying size of the warped extra dimension. We consider this RG approach applied to U(1) gauge theories and gravity. We use this method to derive a low energy effective theory.