**De Sitter Wavefunctionals and the Resummation of Time**

The holographic RG of Anti-De Sitter gives a powerful clue about the underlying AdS/CFT correspondence. The question is whether similar hints can be found for the heretofore elusive holographic dual of De Sitter. The framework of stochastic inflation uses nonperturbative insight to tame bad behavior in the perturbation series of a massless scalar in DS at late times. Remarkably, this fully quantum system loses phase information and exhibits semiclassical dynamics in the leading approximation. Recasting this as a “resummation of time,” we wish understand whether the distributions that result can be thought of as an attractive UV fixed point of a theory living on a spacelike slice of DS. We derive stochastic inflation via novel statements to all orders in perturbation theory. The wavefunctional approach to Quantum Field Theory allows us to extend these results to the nonperturbative regime. Corrections to the original framework are straightforward implement.

Page last modified: January 20, 2017