Renormalization group, secular term resummation and AdS (in)stability

by Dr Oleg Evnin (Chulalongkorn University, Bangkok)

Thursday 16 Oct 2014, 16:00 → 17:00 Asia/Kolkata

A304

AdS space-time has been numerically observed to be (non-linearly) unstable with respect to large classes of initial perturbations of very small amplitudes. This behavior has been linked to the appearance of growing (secular) terms in non-linear perturbation theory around the AdS background, though the relation is far from obvious. I review the generalities pertaining to such secular terms, resummation strategies that endow perturbation theory with predictive power, and describe applications of these techniques to the AdS case.