Universality classes for models of inflation

TL;DR

This paper demonstrates that inflation models' cosmological evolution can be understood through renormalisation group equations, revealing universality in predictions and connecting inflation dynamics to fixed points and AdS/CFT correspondence.

Contribution

It introduces a novel approach to analyze inflation models using renormalisation group methods, explaining universality and fixed point behavior in inflationary cosmology.

Findings

Inflation dynamics can be derived from RG equations.

Universality arises from slow evolution near fixed points.

Connections to AdS/CFT provide deeper theoretical insights.

Abstract

We show that the cosmological evolution of a scalar field in a potential can be obtained from a renormalisation group equation. The slow roll regime of inflation models is understood in this context as the slow evolution close to a fixed point, described by the methods of renormalisation group. This explains in part the universality observed in the predictions of a certain number of inflation models. We illustrate this behavior on a certain number of examples and discuss it in the context of the AdS/CFT correspondence.