On the quantum origin of inflation in the geometric inflation model

TL;DR

This paper explores how quantum effects related to higher curvature corrections can naturally lead to primordial inflation, using dynamical systems analysis of specific geometric inflation models.

Contribution

It demonstrates the quantum origin of inflation within geometric inflation models by analyzing the global phase space dynamics of higher curvature corrections.

Findings

Quantum higher curvature terms can drive inflation.

Dynamical systems reveal the phase space structure of geometric inflation.

The models suggest a quantum origin for primordial inflation.

Abstract

In this paper we investigate the cosmological dynamics of geometric inflation by means of the tools of the dynamical systems theory. We focus in the study of two explicit models where it is possible to sum the infinite series of higher curvature corrections that arises in the formalism. These would be very interesting possibilities since, if regard gravity as a quantum effective theory, a key feature is that higher powers of the curvature invariants are involved at higher loops. Hence, naively, consideration of the whole infinite tower of curvature invariants amounts to consideration of all of the higher order loops. The global dynamics of these toy models in the phase space is discussed and the quantum origin of primordial inflation is exposed.