Analytic false-vacuum decay rate in the thin-wall approximation

2023/04/05 by Matteini, Marco, Nemevšek, Miha, Ubaldi, Lorenzo · 1 citation
#FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2304.02290

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.

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