Tunnelling in Dante’s Inferno

2017, May 30
Kazuyuki Furuuchi, Marcus Sperling
JCAP 1705 (2017) no.05, 055

We study quantum tunnelling in Dante’s Inferno model of large field inflation. Such a tunnelling process, which will terminate inflation, becomes problematic if the tunnelling rate is rapid compared to the Hubble time scale at the time of inflation. Consequently, we constrain the parameter space of Dante’s Inferno model by demanding a suppressed tunnelling rate during inflation. The constraints are derived and explicit numerical bounds are provided for representative examples. Our considerations are at the level of an effective field theory, hence, the presented constraints have to hold regardless of any UV completion.