PIRSA:14120053

Stochastic Inflation Revisited: A Self-Consistent Recursive Approach and Applications

Perreault-Levasseur, L. (2014). Stochastic Inflation Revisited: A Self-Consistent Recursive Approach and Applications. Perimeter Institute. https://pirsa.org/14120053

Perreault-Levasseur, Laurence. Stochastic Inflation Revisited: A Self-Consistent Recursive Approach and Applications. Perimeter Institute, Dec. 16, 2014, https://pirsa.org/14120053 

          @misc{ pirsa_PIRSA:14120053,
            doi = {10.48660/14120053},
            url = {https://pirsa.org/14120053},
            author = {Perreault-Levasseur, Laurence},
            keywords = {Cosmology},
            language = {en},
            title = {Stochastic Inflation Revisited: A Self-Consistent Recursive Approach and Applications},
            publisher = {Perimeter Institute},
            year = {2014},
            month = {dec},
            note = {PIRSA:14120053 see, \url{https://pirsa.org}}
          }

Laurence Perreault Levasseur

Université de Montréal

Talk number
PIRSA:14120053
Collection
Talk Type
Subject
Abstract

In this talk, I will review the main ideas underlying stochastic inflation, by introducing the formalism in two independent ways. First I will start from the intuitive picture stemming from the equations of motion of the system. I will then introduce a more rigorous approach based on the in-in formalism, and show how the usual set of Langevin equations can emerge from a path integral formulation. With this understanding, I will then formulate a new, recursive method which allows to solve consistently both in slow-roll parameters and in quantum corrections. I will then discuss examples of how this method can be applied to derive corrected predictions for cosmological observables in the case of hybrid inflation, multi-field inflation, and inflation on modulated potentials.