English

An Exact Tunneling Solution in a Simple Realistic Landscape

High Energy Physics - Theory 2015-07-24 v1 Cosmology and Nongalactic Astrophysics General Relativity and Quantum Cosmology

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.

Keywords

Cite

@article{arxiv.1102.4742,
  title  = {An Exact Tunneling Solution in a Simple Realistic Landscape},
  author = {Koushik Dutta and Pascal M. Vaudrevange and Alexander Westphal},
  journal= {arXiv preprint arXiv:1102.4742},
  year   = {2015}
}

Comments

RevTeX 4.1, 4 pages, 5 figures

R2 v1 2026-06-21T17:30:34.884Z