An Exact Tunneling Solution in a Simple Realistic Landscape

Understand

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.