The Wilsonian Renormalization Group in Randall-Sundrum 1

TL;DR

This paper develops a Wilsonian renormalization group approach for the Randall-Sundrum model, analyzing how operator coefficients and the extra-dimensional radius evolve, and identifies an attractive fixed point in a bulk scalar field context.

Contribution

It introduces a novel RG transformation framework for the Randall-Sundrum scenario, revealing fixed points and simplifying low-energy calculations.

Findings

Operator coefficients undergo RG flow near the Planck brane

The extra-dimensional radius scales to zero in the IR

An attractive fixed point is identified in bulk scalar theory

Abstract

We find renormalization group transformations for the compactified Randall-Sundrum scenario by integrating out an infinitesimal slice of ultraviolet degrees of freedom near the Planck brane. Under these transformations the coefficients of operators on the Planck brane experience RG evolution. The extra-dimensional radius also scales, flowing to zero in the IR. We find an attractive fixed point in the context of a bulk scalar field theory. Calculations are simplified in the low energy effective theory as we demonstrate with the computation of a loop diagram.