Video URL
https://pirsa.org/14120053Stochastic Inflation Revisited: A Self-Consistent Recursive Approach and Applications
APA
Perreault-Levasseur, L. (2014). Stochastic Inflation Revisited: A Self-Consistent Recursive Approach and Applications. Perimeter Institute for Theoretical Physics. https://pirsa.org/14120053
MLA
Perreault-Levasseur, Laurence. Stochastic Inflation Revisited: A Self-Consistent Recursive Approach and Applications. Perimeter Institute for Theoretical Physics, Dec. 16, 2014, https://pirsa.org/14120053
BibTex
@misc{ scivideos_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 for Theoretical Physics}, year = {2014}, month = {dec}, note = {PIRSA:14120053 see, \url{https://scivideos.org/index.php/pirsa/14120053}} }
Laurence Perreault Levasseur Université de Montréal
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.