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We present detailed calculations for quantum-gravitational corrections to the power spectra of gauge-invariant scalar and tensor perturbations during inflation. This is done by performing a semiclassical Born-Oppenheimer type of…

General Relativity and Quantum Cosmology · Physics 2016-05-19 David Brizuela , Claus Kiefer , Manuel Kraemer

We continue our study on corrections from canonical quantum gravity to the power spectra of gauge-invariant inflationary scalar and tensor perturbations. A direct canonical quantization of a perturbed inflationary universe model is…

General Relativity and Quantum Cosmology · Physics 2017-01-02 David Brizuela , Claus Kiefer , Manuel Kraemer

We study the quantum-gravitational corrections to the power spectrum of a gauge-invariant inflationary scalar perturbations in a closed model of a universe. We consider canonical quantum gravity as an approach to quantizing gravity. This…

General Relativity and Quantum Cosmology · Physics 2023-02-15 Tatevik Vardanyan , Claus Kiefer

We derive the first quantum gravitational corrections to the inflationary power spectra for a general single-field scalar-tensor theory which includes a non-minimal coupling to gravity, a non-standard scalar kinetic term and an arbitrary…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Christian F. Steinwachs , Matthijs L. van der Wild

We calculate the first quantum gravitational correction term to the trace anomaly in De Sitter space from the Wheeler-DeWitt equation. This is obtained through an expansion of the full wave functional for gravity and a conformally coupled…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Claus Kiefer

In the context of Quantum Cosmology and the Wheeler-DeWitt equation we investigate the possible effects of a non semiclassical wave-function of the universe on the evolution of the inflationary perturbations. These are associated with the…

General Relativity and Quantum Cosmology · Physics 2018-06-20 A. Y. Kamenshchik , A. Tronconi , T. Vardanyan , G. Venturi

We derive the primordial power spectrum of density fluctuations in the framework of quantum cosmology. For this purpose we perform a Born-Oppenheimer approximation to the Wheeler-DeWitt equation for an inflationary universe with a scalar…

General Relativity and Quantum Cosmology · Physics 2012-01-17 Claus Kiefer , Manuel Kraemer

We treat a model in which tensor perturbations of de~Sitter spacetime, represented as a spatially flat model, are modified by the effects of the vacuum fluctuations of a massless conformally invariant field, such as the electromagnetic…

General Relativity and Quantum Cosmology · Physics 2011-05-05 Jen-Tsung Hsiang , L. H. Ford , Da-Shin Lee , Hoi-Lai Yu

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/{\it Keck Array} public data. The quantum gravitational…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Alexander Y. Kamenshchik , Alessandro Tronconi , Giovanni Venturi

We perform the canonical quantization of a general scalar-tensor theory and derive the first quantum gravitational corrections following from a semi-classical expansion of the Wheeler-DeWitt equation. The non-minimal coupling of the scalar…

General Relativity and Quantum Cosmology · Physics 2018-07-12 Christian F. Steinwachs , Matthijs L. van der Wild

We study the Wheeler-DeWitt equation for a class of induced gravity models in the minisuperspace approximation. In such models a scalar field nonminimally coupled to gravity determines the effective Newton's constant. For simplicity our…

General Relativity and Quantum Cosmology · Physics 2019-07-24 A. Y. Kamenshchik , A. Tronconi , G. Venturi

We solve a general equation describing the lowest order corrections arising from quantum gravitational effects to the spectrum of cosmological fluctuations. The spectra of scalar and tensor perturbations are calculated to first order in the…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Alexander Y. Kamenshchik , Alessandro Tronconi , Giovanni Venturi

We evaluate the modifications to the cosmic microwave background anisotropy spectrum that result from a semiclassical expansion of the Wheeler-DeWitt equation. Recently, such an investigation in the case of a real scalar field coupled to…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Donato Bini , Giampiero Esposito , Claus Kiefer , Manuel Kraemer , Francesco Pessina

We derive the power spectrum of primordial quantum fluctuations in an inflationary universe for curvature parameter ${\mathcal K}=1$. This is achieved through a Born--Oppenheimer type of approximation scheme from the Wheeler--DeWitt…

General Relativity and Quantum Cosmology · Physics 2022-04-05 Claus Kiefer , Tatevik Vardanyan

We take the first nontrivial coefficient of the Schwinger-DeWitt expansion as a leading correction to the action of the second-derivative metric-dilaton gravity. To fix the ambiguities related with an arbitrary choice of the gauge fixing…

General Relativity and Quantum Cosmology · Physics 2009-10-31 J. Acacio de Barros , N. Pinto-Neto , I. L. Shapiro

The possible cosmological effects of primordial fluctuation corrections to the evolution equation of matter obtained from the Wheeler--De Witt equation are explored. In particular, both the metric and a scalar matter field are expanded…

General Relativity and Quantum Cosmology · Physics 2008-11-26 C. Bertoni , E. Carretti , F. Finelli , A. Messina , G. Venturi

An assessment is made of recent attempts to evaluate how quantum gravity may affect the anisotropy spectrum of the cosmic microwave background. A perturbative scheme for the solution of the Wheeler-DeWitt equation has been found to allow…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Donato Bini , Giampiero Esposito

This paper focuses on the search for a coherent and consistent formulation to describe quantum gravity corrections to Quantum Field Theory. We implement two fundamental ingredients discussed in previous analyses: on one hand, the…

General Relativity and Quantum Cosmology · Physics 2024-10-15 Giulia Maniccia , Giovanni Montani , Marco Tosoni

Within the framework of symmetric teleparallel $f\left( Q\right) $-gravity for a connection defined in the non-coincidence gauge we derive the Wheeler-DeWitt equation of quantum cosmology. Because the gravitational field equation in…

General Relativity and Quantum Cosmology · Physics 2024-09-13 Andronikos Paliathanasis

Several new results regarding the quantum cosmology of the quadratic gravity theory derived from the heterotic string effective action are presented. After describing techniques for solving the Wheeler-De Witt equation with appropriate…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Simon Davis , Hugh Luckock
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