A more attractive scheme for radion stabilization and supercooled phase transition

TL;DR

This paper introduces a novel radion stabilization method in Randall-Sundrum models using a confining bulk gauge field, enabling a reliable classical gravity description and impacting cosmological phase transition dynamics.

Contribution

It proposes a new stabilization mechanism involving a confining bulk gauge field, differing from Goldberger-Wise, with implications for cosmology and classical gravity validity.

Findings

Radion stabilized by brane tension and Casimir energy pressure.

Parameter regime avoids eternal inflation and completes phase transition.

Potential for gravitational wave production during phase transition.

Abstract

We propose a new radion stabilization mechanism in the Randall-Sundrum spacetime, introducing a bulk ${SU(N_H)}$ gauge field which confines at a TeV scale. It turns out that the radion is stabilized by the balance between a brane tension and a pressure due to the Casimir energy of the strong ${SU(N_H)}$ gauge field. We investigate the phase transition between the Randall-Sundrum (compactified) spacetime and a de-compactified spacetime and determine the parameter regime in which eternal (old) inflation is avoided and the phase transition can be completed. In comparison to the Goldberger-Wise mechanism, the 5D Planck mass can be larger than the AdS curvature and a classical description of the gravity is reliable in our stabilization mechanism. We also discuss the effect of the phase transition in cosmology such as an entropy dilution and a production of gravitational waves.