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2018

A Fresh Look at the Calculation of Tunneling Actions

Espinosa, J. R.

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An alternative approach to the calculation of tunneling actions, that control the exponential suppression of the decay of metastable phases, is presented.

The new method circumvents the use of bounces in Euclidean space by introducing an auxiliary function, a tunneling potential $V_t$ that connects smoothly the metastable and stable phases of the field potential $V$.
The tunneling action is obtained as the integral in field space of an action density that is a simple function of $V_t$ and $V$.
This compact expression can be considered as a generalization of the thin-wall action to arbitrary potentials and allows a fast numerical evaluation with a precision below the percent level for typical potentials.

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J.R. Espinosa, [hep-th/1808.00420]
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I.B. Russak, “Calculus of Variations MA 4311 Lecture Notes”, Naval Postgraduate School, Monterey, California, USA. https://calhoun.nps.edu/handle/10945/39311
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N. Cabibbo, L. Maiani, G. Parisi and R. Petronzio, Nucl. Phys. B 158
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2015
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J.R. Espinosa and T. Konstandin, JCAP 1901
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2019
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