For potentials with no Euclidean bounce, false vacuum decay is mediated by pseudo-bounce profiles, and the tunneling action is their Euclidean action, confirmed independently by WKB and tunneling-potential approaches.
Stability of the electroweak ground state in the Standard Model and its extensions
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abstract
We review the formalism by which the tunnelling probability of an unstable ground state can be computed in quantum field theory, with special reference to the Standard Model of electroweak interactions. We describe in some detail the approximations implicitly adopted in such calculation. Particular attention is devoted to the role of scale invariance, and to the different implications of scale-invariance violations due to quantum effects and possible new degrees of freedom. We show that new interactions characterized by a new energy scale, close to the Planck mass, do not invalidate the main conclusions about the stability of the Standard Model ground state derived in absence of such terms.
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Tunneling Without Bounce
For potentials with no Euclidean bounce, false vacuum decay is mediated by pseudo-bounce profiles, and the tunneling action is their Euclidean action, confirmed independently by WKB and tunneling-potential approaches.