Thin-wall vacuum decay in the presence of a compact dimension

Abstract

We study the problem of false vacuum decay in arbitrary dimensions, in the presence of gravity, and compute the transition probability within the thin-wall approximation, generalising the results of Coleman and de Luccia. In the particular case of one compact dimension, we present explicit formulae for the Euclidean Bounce configuration that drives the transition from a de Sitter to Minkowski or from a Minkowski to anti-de Sitter vacua.

arXiv comment26 pages, 2 figures. V2: published version, 29 pages, 2 figures

References in corpus (10)

• Black Strings and p-Branes are Unstable
• Dynamic Dilatonic Domain Walls
• A Fresh Look at the Calculation of Tunneling Actions
• On AdS${}_7$ stability
• Flux Discharge Cascades in Various Dimensions
• A Fresh Look at the Calculation of Tunneling Actions including Gravitational Effects
• A criterion for bubble formation in de Sitter universe
• Large extra dimensions from higher-dimensional inflation
• Vacuum Decay Actions from Tunneling Potentials for General Spacetime Dimension
• Primordial Black Holes and Higgs Vacuum Decay

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