The trouble with asymptotically safe inflation

Abstract

In this paper we investigate the perturbation theory of asymptotically safe inflation and we find that all modes of gravitational waves perturbation become ghosts in order to achieve a large enough number of e-folds. Formally we can calculate the power spectrum of gravitational waves perturbation, but we find that it is negative. It indicates that there is serious trouble with asymptotically safe inflation. © 2013 Springer-Verlag Berlin Heidelberg and Società Italiana di Fisica.