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Vacuum decay in the Lorentzian path integral
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Vacuum decay in the Lorentzian path integral
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We apply the Lorentzian path integral to the decay of a false vacuum and estimate the false-vacuum decay rate. To make the Lorentzian path integral convergent, the deformation of an integral contour is performed by following the Picard-Lefschetz theory. We show that the nucleation rate of a critical bubble, for which the corresponding bounce action is extremized, has the same exponent as the Euclidean approach. We also extend our computation to the nucleation of a bubble larger or smaller than the critical one to which the Euclidean formalism is not applicable.
Forward citations
Cited by 1 Pith paper
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The Lorentzian Geometry of Tunneling in Global de Sitter at Late Time
A late-time Lorentzian Hamiltonian/WKB calculation of bubble nucleation in de Sitter reproduces the CDL decay exponent for all tunneling types, with gravity-dominated bubbles going on-shell at the parent horizon.
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