Estimating Vacuum Tunneling Rates

Details Estimating Vacuum Tunneling Rates Estimating Vacuum Tunneling Rates

1996-10-18

arxiv.org/abs/hep-ph/9610403v2

Phys.Lett. B394 (1997) 116-122

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages, Latex, one postscript figure, uses epsf. Some new references have been added; To be published in Phys. Lett. B

Scientific paper

10.1016/S0370-2693(96)01685-1

We show that in Euclidean field theories that have bounce solutions, the bounce with the least action is the global minimum of the action in an open space of field configurations. A rigorous upper bound on the minimal bounce action can therefore be obtained by finite numerical methods. This sets a lower bound on the tunneling rate which, fortunately, is often the more interesting and useful bound. We introduce a notion of reduction which allows this bound to be computed with less effort by reducing complicated field theories to simpler ones.

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