Multifield Polygonal Bounces

Abstract

We propose a new approach for computing tunneling rates in quantum or thermal field theory with multiple scalar fields. It is based on exact analytical solutions of piecewise linear potentials with many segments that describes any given potential to arbitrary precision. The method is first developed for the single field case in 3 and 4 space-time dimensions and demonstrated on examples of classical potentials as well as the calculation of quantum fluctuations. A systematic expansion of the potential beyond the linear order is considered, taking into account higher order corrections, which paves the way for multiple scalar fields. We thereby provide a fast semi-analytical tool for evaluating the bounce action for theories with an extended scalar sector.

arXiv comment15 pages, 12 figures, polygonal bounces extended to multi-fields, computation of the prefactor, added references

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• Exact one-loop false vacuum decay rate
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• Mapping the shape of the scalar potential with gravitational waves
• Optimisation based algorithm for finding the action of cosmological phase transitions
• PT2GWFinder: A Package for Cosmological First-Order Phase Transitions and Gravitational Waves
• Quartic Gradient Flow
• Is our vacuum global in a 331 model with three triplets?
• Analytic bounces in d dimensions
• Piecewise linear potentials for false vacuum decay and negative modes