paper

Tools for Tunneling

arXiv:hep-ph/9804308 · doi:10.1103/PhysRevD.58.085017

Abstract

If the universe is trapped and cooled in a metastable false vacuum state, that state will eventually decay by bubble nucleation and expansion. For example, many extensions of the standard model incorporate new scalar fields whose potential has a local minimum at the origin but a global minimum elsewhere, to which the vacuum will eventually tunnel. I calculate the lifetime of the false vacuum, and the field profile of the bubble after tunneling, for any potential that is approximately a polynomial of degree <= 4 near the false vacuum. Essentially exact results are given for a single field; for multiple fields the given action is a strict upper bound.

RevTeX, 4 pages, including 3 eps figures embedded via epsfig; revised version (minor typos corrected, reference added, clarifications made) to appear in Phys. Rev. D

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