Abstract
Using a new approach to the analysis of false vacuum decay based on the so-called tunneling potential, we develop a general method to find scalar potentials with a false vacuum with exactly solvable decay at the semi-classical level, including gravitational corrections. We examine in particular the decays of de Sitter vacua providing concrete examples that allow to explore analytically the transition between the Coleman-De Luccia and Hawking-Moss regimes.
Highlights
False vacuum decay in quantum field theory is a fascinating phenomenon of key importance for cosmology, both in the Standard Model and its extensions
Using a new approach to the analysis of false vacuum decay based on the so-called tunneling potential, we develop a general method to find scalar potentials with a false vacuum with exactly solvable decay at the semiclassical level, including gravitational corrections
We examine in particular the decays of de Sitter vacua providing concrete examples that allow to explore analytically the transition between the ColemanDe Luccia and Hawking-Moss regimes
Summary
False vacuum decay in quantum field theory is a fascinating phenomenon of key importance for cosmology, both in the Standard Model and its extensions. A giant step in the theoretical analysis of such decays (in particular for the calculation of the tunneling action that controls the exponential suppression of vacuum decay) was due to Coleman [1], who pioneered an elegant and powerful approach based on an Euclidean formulation of the problem. [4], this was done in a generic way, formally integrating an equation for V in terms of Vt, that can be explicitly solved for simple Vt choices With gravity included, this problem is harder, and Ref.
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