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arXiv · hep-th/0511095

Particle decay in false vacuum

A. Gorsky·M. B. Voloshin
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Abstract

We revisit the problem of decay of a metastable vacuum induced by the presence of a particle. For the bosons of the `master field' the problem is solved in any number of dimensions in terms of the spontaneous decay rate of the false vacuum, while for a fermion we find a closed expression for the decay rate in (1+1) dimensions. It is shown that in the (1+1) dimensional case an infrared problem of one-loop correction to the decay rate of a boson is resolved due to a cancellation between soft modes of the field. We also find the boson decay rate in the `sine-Gordon staircase' model in the limits of strong and weak coupling.

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A. Gorsky, M. B. Voloshin. 2005-11-08. Particle decay in false vacuum. https://doi.org/10.1103/physrevd.73.025015

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