Tunneling transitions with gravitation: Breakdown of the quasiclassical approximation

Physics

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Scientific paper

We discuss the perturbations around the O(4)-invariant bounce describing the tunneling process leading to the materialization of a bubble of a new phase in metastable vacuum. We find that for some range of parameters, the gravitational effects lead to the existence of a huge number of negative modes. We argue that this implies the breakdown of the quasiclassical approximation and speculate on a possible alternative to the quasiclassical tunneling. We point out that the possibility of non-quasiclassical tunneling makes the quasiclassical description of tunneling questionable even in models with stable classical euclidean configurations.

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