Numerical Analysis of Coleman-de Luccia Tunneling

Abstract

We study the false vacuum decay of a single scalar field $\varphi$ coupled to gravity described by the Coleman-de Luccia (CdL) instanton. We show that it is possible to numerically calculate the bounce factor, which is related to the CdL tunneling rate, without using the thin-wall approximation. In this paper, we consider $1/\cosh (\varphi )$- and $\cos (\varphi )$-type potential as examples, which have cosmological and phenomenological applications. Especially, in the $\cos (\varphi )$-type potential we show that the range of values in which axion decay constant can take is restricted by the form of the periodic potential if the CdL tunneling occurs.

15 pages, 13 figures

References in corpus (5)

• The Anthropic Landscape of String Theory
• Gravitational corrections to Standard Model vacuum decay
• Heretics of the False Vacuum: Gravitational Effects On and Of Vacuum Decay 2
• The number of negative modes of the oscillating bounces
• Oscillating Fubini instantons in curved space

Cited by in corpus (5)

• On gravitational and thermal corrections to vacuum decay
• The Thin-Wall Approximation in Vacuum Decay: a Lemma
• Impact of New Physics on the EW vacuum stability in a curved spacetime background
• Fubini instantons in Dilatonic Einstein-Gauss-Bonnet theory of gravitation
• Phase transition for black holes in dilatonic Einstein-Gauss-Bonnet theory of gravitation