A Dynamical Solution of Stable Starobinsky-Type Inflation Model in Quantum Geometry

TL;DR

This paper explores a quantum geometric approach to Starobinsky-type inflation, demonstrating a stable high-energy de Sitter phase and an end to inflation at low energies due to traceless mode dynamics.

Contribution

It presents a dynamical solution within quantum geometry that accounts for stable inflation and its termination, advancing understanding of quantum effects in early universe models.

Findings

Stable de Sitter solution at high energies

Inflation ends at low energies due to traceless mode dynamics

Quantum geometry provides a regularization scheme-independent framework

Abstract

Quantum geometry gives a regularization scheme-independent effective action, whoes equation of motion for the conformal mode has a stable de Sitter solution at the high-energy region where the coupling of the self-interactions of the traceless mode can be neglected because of the asymptotic freedom. However, the dynamics of the traceless mode suggests that inflation ends at the low-energy region.