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arXiv · 2604.26795

A positive definite formulation of vacuum decay with reduced symmetry

José R. Espinosa·Ryusuke Jinno·Thomas Konstandin·Shogo Matake·Taiga Miyachi
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Abstract

The Euclidean bounce for vacuum decay enjoys an $O(4)$ symmetry that is lost in the presence of impurities than can catalyze the decay. We present a formulation for the calculation of the tunneling decay action, that is explicitly positive definite, for impurities whose effects are spherically symmetric so that the bounce symmetry is reduced to $O(3)$. The action constructed can be regarded as a generalization of the tunneling potential method, which implicitly assumed $O(4)$ symmetry. We show that the action obtained reduces to the tunneling potential for $O(4)$-symmetric cases and provide analytic examples with $O(3)$ symmetry and arbitrary wall thickness.

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José R. Espinosa, Ryusuke Jinno, Thomas Konstandin, Shogo Matake, Taiga Miyachi. 2026-04-29. A positive definite formulation of vacuum decay with reduced symmetry. https://arxiv.org/abs/2604.26795

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