More Exact Tunneling Solutions in Scalar Field Theory
  We present exact bounce solutions and amplitudes for tunneling in i) a piecewise linear-quartic potential and ii) a piecewise quartic-quartic potential. We cross check their correctness by comparing with results obtained through the thin-wall approximation and with a piecewise linear-linear potential. We briefly comment on applications in cosmology. 
Koushik Dutta, Cecelie Hector, Pascal M. Vaudrevange, Alexander   Westphal
hep-th astro-ph.CO hep-ph