Analytic false-vacuum decay rate in the thin-wall approximation
M. Matteini*, M. Nemevsek and L. Ubaldi
*: corresponding author
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Published on: November 08, 2023
Abstract
We present a fully analytical calculation of the false vacuum decay rate for a self-interacting scalar field in the thin-wall approximation. We obtain the bounce solution, together with the Euclidean action, counter-terms and renormalization group running, and we extract the functional determinant via the Gel’fand-Yaglom theorem. Our procedure is valid for a generic spacetime dimension 𝐷, and we provide an explicit finite renormalized decay rate in 𝐷 = 3, 4.
DOI: https://doi.org/10.22323/1.436.0116
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