Endpoint-safe Fourier sine deformations of straight-line paths achieve sub-percent agreement with FindBounce, OptiBounce and CosmoTransitions on multi-field benchmarks while cutting runtime up to 90% when used as initializer.
A Fresh Look at the Calculation of Tunneling Actions in Multi-Field Potentials
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abstract
The quantum decay of a metastable vacuum is exponentially suppressed by a tunneling action that can be calculated in the semi-classical approximation as the Euclidean action of a bounce that interpolates between the false and true phases. For multi-field potentials, finding the bounce is non-trivial due to its peculiar boundary conditions and the fact that the action at the bounce is not a minimum but merely a saddle point. Recently, an alternative tunneling action has been proposed that does not rely on Euclidean bounces and reproduces the standard result at its minimum. Here we generalize this new approach for several scalar fields and demonstrate how its use can significantly improve the numerical calculation of tunneling actions for multi-field potentials.
years
2026 2verdicts
UNVERDICTED 2representative citing papers
A positive definite action for O(3)-symmetric vacuum decay that reduces to the standard tunneling potential method when O(4) symmetry is restored.
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Fourier-Preconditioned Path Deformations for Multi-Field Vacuum Tunnelling
Endpoint-safe Fourier sine deformations of straight-line paths achieve sub-percent agreement with FindBounce, OptiBounce and CosmoTransitions on multi-field benchmarks while cutting runtime up to 90% when used as initializer.
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A positive definite formulation of vacuum decay with reduced symmetry
A positive definite action for O(3)-symmetric vacuum decay that reduces to the standard tunneling potential method when O(4) symmetry is restored.