Inflation and quantum gravity in a Born–Oppenheimer context

Kamenshchik, Alexander Yu.; Tronconi, Alessandro; Venturi, G.

doi:10.1016/j.physletb.2013.08.067

Cited by 45 publications

(89 citation statements)

References 24 publications

(34 reference statements)

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“…The BKK approach [16] is based on the Wheeler-de Witt equation and can be directly compared with ours [15]. Indeed, in [16], they introduce a "master" Wheeler-de Witt equation (we shall follow an identical notation to theirs whenever possible) obtained after a Fourier expansion (we work on a flat FRW background):…”

Section: Geometrodynamical Approachmentioning

confidence: 99%

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The Born–Oppenheimer method, quantum gravity and matter

Kamenshchik

Tronconi

Venturi

2017

Class. Quantum Grav.

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Abstract. We illustrate and examine diverse approaches to the quantum matter-gravity system which refer to the Born-Oppenheimer (BO) method. In particular we first examine a quantum geometrodynamical approach introduced by other authors in a manner analogous to that previously employed by us, so as to include back reaction and non-adiabatic contributions. On including such effects it is seen that the unitarity violating effects previously found disappear. A quantum loop space formulation (based on a hybrid quantisation, polymer for gravitation and canonical for matter) also refers to the BO method. It does not involve the classical limit for gravitation and has a highly peaked initial scalar field state. We point out that it does not resemble in any way to our traditional BO approach. Instead it does resemble an alternative, canonically quantised, non BO approach which we have also previously discussed.

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Section: Geometrodynamical Approachmentioning

confidence: 99%

“…In contrast (34) is free of unitarity violating contributions. Indeed one may identify a Schrödinger wave function ψ S k as in done in [15]:…”

Section: Geometrodynamical Approachmentioning

confidence: 99%

The Born–Oppenheimer method, quantum gravity and matter

Kamenshchik

Tronconi

Venturi

2017

Class. Quantum Grav.

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“…Such an effect is naively explained by the fact that the largest scales we observe in the CMB are those which first exit the horizon during inflation (and re-enter at later times) and are thus more affected by large energy/curvature effects than the shortest scales. Similar models for the evolution of primordial cosmological perturbations in the framework of quantum cosmology have been investigated recently [6]. In particular in [7] the quantum gravitational corrections to the single, minimally coupled scalar field inflation are obtained through a Born-Oppenheimer decomposition [8] and without specifying any further assumption on the inflationary potential except for the requirement that it determines the slow-roll (SR) evolution.…”

Section: Introductionmentioning

confidence: 99%

Quantum gravity and the large scale anomaly

Kamenshchik

Tronconi

Venturi

2015

J. Cosmol. Astropart. Phys.

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The spectrum of primordial perturbations obtained by calculating the quantum gravitational corrections to the dynamics of scalar perturbations is compared with Planck 2013 and BICEP2/Keck Array public data. The quantum gravitational effects are calculated in the context of a Wheeler-De Witt approach and have quite distinctive features. We constrain the free parameters of the theory by comparison with observations.

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“…We note that in Refs. [13,14], quantum corrections with completely different approaches from our method have been discussed.…”

Section: Introductionmentioning

confidence: 99%

One-loop modified gravity in a de Sitter universe, quantum-corrected inflation, and its confrontation with the Planck result

et al. 2014

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Motivated by issues on inflation, a generalized modified gravity model is investigated, where the model Lagrangian is described by a smooth function f (R, K, φ) of the Ricci scalar R, the kinetic term K of a scalar field φ. In particular, the one-loop effective action in the de Sitter background is examined on-shell as well as off-shell in the Landau gauge. In addition, the on-shell quantum equivalence of f (R) gravity in the Jordan and Einstein frames is explicitly demonstrated. Furthermore, we present applications related to the stability of the de Sitter solutions and the one-loop quantum correction to inflation in quantum-corrected R 2 gravity. It is shown that for a certain range of parameters, the spectral index of the curvature perturbations can be consistent with the Planck analysis, but the tensor-to-scalar ratio is smaller than the minimum value within the 1 σ error range of the BICEP2 result.

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Inflation and quantum gravity in a Born–Oppenheimer context

Cited by 45 publications

References 24 publications

The Born–Oppenheimer method, quantum gravity and matter

The Born–Oppenheimer method, quantum gravity and matter

Quantum gravity and the large scale anomaly

One-loop modified gravity in a de Sitter universe, quantum-corrected inflation, and its confrontation with the Planck result

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