An Exact Tunneling Solution in a Simple Realistic Landscape
  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. 
Koushik Dutta, Pascal M. Vaudrevange and Alexander Westphal
hep-th astro-ph.CO gr-qc