Quantum Cosmology and the Inflationary Spectra from a Non-Minimally Coupled Inflaton
arXiv:1911.10918 · doi:10.1103/PhysRevD.101.023534
Abstract
We calculate the quantum gravitational corrections to the Mukhanov-Sasaki equation obtained by the canonical quantization of the inflaton-gravity system. Our approach, which is based on the Born-Oppenheimer decomposition of the resulting Wheeler-DeWitt equation, was previously applied to a minimally coupled inflaton. In this article we examine the case of a non minimally coupled inflaton and, in particular, the induced gravity case is also discussed. Finally, the equation governing the quantum evolution of the inflationary perturbations is derived on a de Sitter background. Moreover the problem of the introduction of time is addressed and a generalized method, with respect to that used for the minimal coupling case, is illustrated. Such a generalized method can be applied to the universe wave function when, through the Born-Oppenheimer factorization, we decompose it into a part which contains the minisuperspace degrees of freedom and another which describes the perturbations.
24 pages, no figures
References in corpus (10)
- The Standard Model Higgs boson as the inflaton
- Inflation scenario via the Standard Model Higgs boson and LHC
- Dark Energy, Induced Gravity and Broken Scale Invariance
- Signatures of Quantum Gravity in a Born-Oppenheimer Context
- The Born-Oppenheimer Method, Quantum Gravity and Matter
- Quantum Cosmology and the Evolution of Inflationary Spectra
- Quantum Gravity and the Large Scale Anomaly
- Planck scale inflationary spectra from quantum gravity
- Inflation and the semiclassical dynamics of a conformal scalar field
- Induced Gravity and Quantum Cosmology
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- Time and Evolution in Quantum and Classical Cosmology
- Born-Oppenheimer meets Wigner-Weyl in Quantum Gravity
- Quantum Gravity Corrections to the inflationary spectrum in a Bohmian approach
- Fermionic quantum cosmology as a framework for resolving type IV singularities