The final state on de Sitter

by Prof. Tomislav Prokopec (Utrecht)

Friday 28 Jun 2013, 14:00 → 15:00 Europe/Berlin

TUM Physik 3344 (Universe)

I will begin by reviewing de Sitter space, the problems with perturbative quantizations on de Sitter and Starobinsky's stochastic inflation. Next, I will present a non-perturbative technique based on a Legendre transform and show how to construct an effective action based on which one can determine the quantum state of fields at the asymptotic future infinity, which allows for understanding deep infrared (IR) correlators. As an important corollary I will present a proof that an O(N) symmetric scalar theory, that is broken in the UV, undergoes a symmetry restoration in the deep IR. Namely, the strong quantum fluctuations on de Sitter generate a large amount of vacuum energy, thus restoring the symmetry.