An Exact Tunneling Solution in a Simple Realistic Landscape

Details An Exact Tunneling Solution in a Simple Realistic Landscape An Exact Tunneling Solution in a Simple Realistic Landscape

2011-02-23

arxiv.org/abs/1102.4742v1

Physics

High Energy Physics

High Energy Physics - Theory

RevTeX 4.1, 4 pages, 5 figures

Scientific paper

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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