Quantum Corrections to Inflaton and Curvaton Dynamics

Abstract

We compute the fully renormalized one-loop effective action for two interacting and self-interacting scalar fields in FRW space-time. We then derive and solve the quantum corrected equations of motion both for fields that dominate the energy density (such as an inflaton) and fields that do not (such as a subdominant curvaton). In particular, we introduce quantum corrected Friedmann equations that determine the evolution of the scale factor. We find that in general, gravitational corrections are negligible for the field dynamics. For the curvaton-type fields this leaves only the effect of the flat-space Coleman-Weinberg-type effective potential, and we find that these can be significant. For the inflaton case, both the corrections to the potential and the Friedmann equations can lead to behaviour very different from the classical evolution. Even to the point that inflation, although present at tree level, can be absent at one-loop order.

33 pages, 6 figures, minor revisions. Published version Journal of Cosmology and Astroparticle Physics, Volume 2012, November 2012

References in corpus (10)

• The Standard Model Higgs boson as the inflaton
• Higgs inflation: consistency and generalisations
• Inflation scenario via the Standard Model Higgs boson and LHC
• On the one loop corrections to inflation and the CMB anisotropies
• The curvature perturbation in a box
• One-loop divergences for gravity non-minimally coupled to a multiplet of scalar fields: calculation in the Jordan frame. I. The main results
• Quantum radiative corrections to slow-roll inflation
• Quantum field thermalization in expanding backgrounds
• Study of the preheating phase of chaotic inflation
• Next-to-leading term of the renormalized stress-energy tensor of the quantized massive scalar field in Schwarzschild spacetime. The back reaction

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