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arXiv · 1102.4742

An Exact Tunneling Solution in a Simple Realistic Landscape

Koushik Dutta·Pascal M. Vaudrevange·Alexander Westphal
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Abstract

We present an analytical solution for the tunneling process in a piecewise linear and quadratic potential which does not make use of the thin-wall approximation. A quadratic potential allows for smooth attachment of various slopes exiting into the final minimum of a realistic potential. Our tunneling solution thus serves as a realistic approximation to situations such as populating a landscape of slow-roll inflationary regions by tunneling, and it is valid for all regimes of the barrier parameters. We shortly comment on the inclusion of gravity.

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Koushik Dutta, Pascal M. Vaudrevange, Alexander Westphal. 2011-02-23. An Exact Tunneling Solution in a Simple Realistic Landscape. https://doi.org/10.1088/0264-9381%2F29%2F6%2F065011

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