A proof that pseudo-bounce actions decrease monotonically to the true bounce action, with and without gravity, plus an estimate that the Standard Model's AdS3 vacuum decays with exponent ~M_pl^3/(m_nu^2 Lambda).
The Thin-Wall Approximation in Vacuum Decay: a Lemma
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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.
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An infrared bound on the ultraviolet bounce
A proof that pseudo-bounce actions decrease monotonically to the true bounce action, with and without gravity, plus an estimate that the Standard Model's AdS3 vacuum decays with exponent ~M_pl^3/(m_nu^2 Lambda).