Gravitational Backreaction Effects on the Holographic Phase Transition

TL;DR

This paper investigates radion stabilization and holographic phase transitions in the Randall-Sundrum model, incorporating backreaction effects to refine predictions of gravitational wave signals detectable by LISA.

Contribution

It generalizes the Goldberger-Wise mechanism by including backreaction effects, improving the understanding of radion potential and phase transition dynamics.

Findings

Backreaction inclusion reconciles radion potential with mass calculations.

Weaker constraints on the dual gauge theory's rank N.

Gravitational wave signals are detectable by LISA in the valid regime.

Abstract

We study radion stabilization in the compact Randall-Sundrum model by introducing a bulk scalar field, as in the Goldberger and Wise mechanism, but (partially) taking into account the backreactions from the scalar field on the metric. Our generalization reconciles the radion potential found by Goldberger and Wise with the radion mass obtained with the so-called superpotential method where backreaction is fully considered. Moreover we study the holographic phase transition and its gravitational wave signals in this model. The improved control over backreactions opens up a large region in parameter space and leads, compared to former analysis, to weaker constraints on the rank N of the dual gauge theory. We conclude that, in the regime where the 1/N expansion is justified, the gravitational wave signal is detectable by LISA.