False vacuum decay in de Sitter space-time

Details False vacuum decay in de Sitter space-time False vacuum decay in de Sitter space-time

1999-05-25

arxiv.org/abs/gr-qc/9905093v1

Theor.Math.Phys. 120 (1999) 1194-1212; Teor.Mat.Fiz. 120 (1999) 451-472

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

26 pages,10 figures

Scientific paper

10.1007/BF02557243

We suggest a technique that explicitly accounts for the structure of an initial state of quantum field in the semiclassical calculations of path integral in curved space-time, and consider decay of metastable state (conformal vacuum of scalar particles above false classical vacuum) in background de Sitter space-time as an example. Making use of this technique, we justify the Coleman-De Luccia approach to the calculation of the decay probability. We propose an interpretation of the Hawking-Moss instanton as a limiting case of constrained instantons. We find that an inverse process of the transition from true vacuum to false one is allowed in de Sitter space-time, and calculate the corresponding probability.

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