Geodesic
False vacuum decay in the de Sitter space–time
Teoretičeskaâ i matematičeskaâ fizika, Tome 120 (1999) no. 3, pp. 451-472 Cet article a éte moissonné depuis la source Math-Net.Ru

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In the example of the decay of a metastable scalar field state (the conformal vacuum of scalar particles over a false classical vacuum) in the background de Sitter metric, we propose a method to account for the initial quantum field state in the semiclassical calculation of the path integral in a curved space–time. Using this method, we justify the Coleman–De Luccia approach to calculating the decay probability. We interpret the Hawking–Moss instanton as a limit of constrained instantons. We find that the inverse process of the true vacuum going into a false one can occur in the de Sitter space and find the expression for the corresponding probability. 
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V. A. Rubakov; S. M. Sibiryakov. False vacuum decay in the de Sitter space–time. Teoretičeskaâ i matematičeskaâ fizika, Tome 120 (1999) no. 3, pp. 451-472. http://geodesic.mathdoc.fr/item/TMF_1999_120_3_a7/

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