Published on:

19 December 2023

Primary Category:

High Energy Physics - Theory

Paper Authors:

J. R. Espinosa,

T. Konstandin

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Presents first nontrivial analytical tunneling solutions for 2-3 scalar fields

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Shows technique to construct exact solutions from single-field cases

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Solutions can approximate realistic particle physics potentials

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Useful to check conjectures, study parametric dependencies of decays

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Provide benchmarks to test multi-field numerical tunneling codes

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Method extended to include gravitational corrections

Analytic tunneling solutions for particle physics models

This paper develops new mathematical techniques to find exact, analytical solutions for quantum tunneling rates in particle physics models with multiple scalar fields. These solutions illuminate dependencies of decay rates on parameters. They serve as approximations and benchmarks for realistic potentials and numerical codes studying vacuum instability. The method is extended to include gravitational effects.

Electron dynamics in fluctuating fields

Demystifying spectral asymptotics: A gentle introduction to the mathematics of quantum behavior

Pointwise bounds on quantum states

Efficient quantum simulation of systems with multiple energy scales

Quantum tunneling through a symmetric potential barrier

Stochastic Quantization of Self-Interacting Scalar Fields

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