Quantum Creation of the Randall-Sundrum Bubble
H. Ochiai, D. Ida, T. Shiromizu (U. of Tokyo)

TL;DR
This paper studies the quantum decay process of the Randall-Sundrum brane world via bubble nucleation, analyzing the decay probability and implications for spacetime stability.
Contribution
It provides a detailed analysis of the bubble solution and decay probability in the Randall-Sundrum model using Euclidean quantum gravity methods.
Findings
Decay probability calculated for the brane world
Bubble rapidly expands, leading to spacetime occupation
Implications for stability of the Randall-Sundrum scenario
Abstract
We investigate the semiclassical instability of the Randall-Sundrum brane world. We carefully analyze the bubble solution with the Randall-Sundrum background, which expresses the decay of the brane world. We evaluate the decay probability following the Euclidean path integral approach to quantum gravity. Since a bubble rapidly expands after the nucleation, the entire spacetime will be occupied by such bubbles.
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