Scale-invariant inflation with one-loop quantum corrections

Abstract

We study quantum corrections to an inflationary model, which has the attractive feature of being classically scale-invariant. In this model, quadratic gravity plays along a scalar field in such a way that inflation begins near the unstable point of the effective potential and it ends at a stable fixed point, where the scale symmetry is broken and a fundamental mass scale naturally emerges. We compute the one loop corrections to the classical action on the curved background of the model and we report their effects on the classical dynamics with both analytical and numerical methods.

Typos corrected. Version accepted for publication on Physical Review D

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• Spectral Noncommutative Geometry, Standard Model and all that
• Wyman's "other" scalar field solution, Sultana's generalization, and their Brans-Dicke and $R^2$ relatives
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