Orateur
Description
Inflation is an accelerated expansion era introduced at the beginning of universe timeline to address causality problems of the FLRW model. The simplest realization of inflation is a scalar field theory minimally coupled to gravity. This scalar field has a background classical part that drives the accelerated expansion, and quantum fluctuations that, stretched by this expansion, give rise to large scale structures.
These fluctuations can be described as quantum fields that propagate in a curved time-dependent space-time. I will show how this complicated time-dependent propagation can be decomposed over plane waves by an integral transformation, introducing a convenient dual space for expressing physical quantities in inflation. In particular, we can map systematically n-point functions of inflationary fluctuations in terms of the corresponding flat space observable with linear shifts using this transformation.
