Quantum Corrections to Randall-Sundrum Model from JT Gravity

TL;DR

This paper studies quantum effects on the Randall-Sundrum model using JT gravity, deriving corrections to the KK spectrum and exploring implications for cosmology and phase transitions.

Contribution

It introduces quantum corrections and temperature effects into the RS model through JT gravity and Schwarzian action, providing new insights into its quantum structure.

Findings

Derived quantum-corrected KK mass spectrum.

Analyzed impact of quantum corrections on the Goldberger-Wise mechanism.

Connected quantum corrections to cosmological and phase transition phenomena.

Abstract

We investigate quantum corrections to the Randall-Sundrum (RS) model in the near-extremal black brane background with quantum corrections in the near-horizon. The near-horizon geometry is described by Jackiw-Teitelboim gravity, and the quantum fluctuations are governed by the Schwarzian action. We introduce the Schwarzian modes into the RS metric, derive the quantum-corrected equation for the Kaluza-Klein (KK) modes via the Schwinger-Dyson equation, calculate the correction to the KK mass spectrum, and discuss the impact of quantum corrections on the Goldberger-Wise mechanism. Our work introduces both quantum corrections and temperature into the RS model, providing insights into cosmology and phase transitions within it.