Vacuum decay in the Lorentzian path integral
arXiv:2112.09284 · doi:10.1088/1475-7516/2022/05/041
Abstract
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.
arXiv comment26 pages, 5 figures; v3: references added, typos corrected
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