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arxiv: 1102.4742 · v1 · pith:427CSW52new · submitted 2011-02-23 · ✦ hep-th · astro-ph.CO· gr-qc

An Exact Tunneling Solution in a Simple Realistic Landscape

classification ✦ hep-th astro-ph.COgr-qc
keywords tunnelingpotentialrealisticsolutionapproximationlandscapequadraticallows
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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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