The Thin-Wall Approximation in Vacuum Decay: a Lemma
arXiv:1711.07712 · doi:10.1103/PhysRevD.97.105002
Abstract
The 'thin-wall approximation' gives a simple estimate of the decay rate of an unstable quantum field. Unfortunately, the approximation is uncontrolled. In this paper I show that there are actually two different thin-wall approximations and that they bracket the true decay rate: I prove that one is an upper bound and the other a lower bound. In the thin-wall limit, the two approximations converge. In the presence of gravity, a generalization of this lemma provides a simple sufficient condition for non-perturbative vacuum instability.
technically contains 2 lemmas
References in corpus (14)
- Beyond the thin-wall approximation : precise numerical computation of prefactors in false vacuum decay
- Efficient numerical solution to vacuum decay with many fields
- Approximating tunneling rates in multi-dimensional field spaces
- The fate of stringy AdS vacua and the WGC
- Bounces with O(3) x O(2) symmetry
- Negative modes of Coleman-De Luccia bounces
- Non-supersymmetric AdS and the Swampland
- Tunneling from a Minkowski vacuum to an AdS vacuum: A new thin-wall regime
- Note on a Paper by Ooguri and Vafa
- Validity of the kink approximation to the tunneling action
- Absolute Lower Bound on the Bounce Action
- Numerical Analysis of Coleman-de Luccia Tunneling
- Generalized surface tension bounds in vacuum decay
- An iterative method for spherical bounces
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