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2019

Flyover vacuum decay

Blanco-Pillado, Jose J., Deng, Heling, Vilenkin, Alexander

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We use analytic estimates and numerical simulations to explore the stochastic approach to vacuum decay.

According to this approach, the time derivative of a scalar field, which is in a local vacuum state, develops a large fluctuation and the field \flies over" a potential barrier to another vacuum.
The probability distribution for the initial fluctuation is found quantum mechanically, while the subsequent nonlinear evolution is determined by classical dynamics.
We find in a variety of cases that the rate of such flyover transitions has the same parametric form as that of tunneling transitions calculated using the instanton method, differing only by a numerical factor O(1) in the exponent.

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J. J. Blanco-Pillado, H. Deng, and A. Vilenkin, work in progress (2019)

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