High Energy Field Theory in Truncated AdS Backgrounds

TL;DR

This paper demonstrates that effective field theory methods remain valid at high energies in truncated AdS backgrounds, specifically in Randall-Sundrum models, when analyzing certain observables and using AdS/CFT correspondence.

Contribution

It shows that high-energy gauge field behavior in truncated AdS spaces can be computed reliably and independently of cutoff, using Green's functions on the Planck brane and one-loop corrections via AdS/CFT.

Findings

Effective field theory is reliable at high energies in truncated AdS backgrounds.

High-energy gauge propagator corrections exhibit non-universal logarithmic dependence.

Calculations are consistent with the AdS/CFT correspondence for charged bulk fields.

Abstract

In this letter we show that, in five-dimensional anti-deSitter space (AdS) truncated by boundary branes, effective field theory techniques are reliable at high energy (much higher than the scale suggested by the Kaluza-Klein mass gap), provided one computes suitable observables. We argue that in the model of Randall and Sundrum for generating the weak scale from the AdS warp factor, the high energy behavior of gauge fields can be calculated in a {\em cutoff independent manner}, provided one restricts Green's functions to external points on the Planck brane. Using the AdS/CFT correspondence, we calculate the one-loop correction to the Planck brane gauge propagator due to charged bulk fields. These effects give rise to non-universal logarithmic energy dependence for a range of scales above the Kaluza-Klein gap.