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The quantum field theory of gravitation is constructed in terms of Lagrangian density of Dirac fields which couple to the electromagnetic field $A_\mu$ as well as the gravitational field $\cal G$. The gravity appears in the mass term as $…

General Physics · Physics 2008-04-17 Takehisa Fujita

We consider pure three-dimensional quantum gravity with a negative cosmological constant. The sum of known contributions to the partition function from classical geometries can be computed exactly, including quantum corrections. However,…

High Energy Physics - Theory · Physics 2010-04-07 Alexander Maloney , Edward Witten

We use dimensional regularization to compute the one loop quantum gravitational contribution to the vacuum polarization on de Sitter background. Adding the appropriate BPHZ counterterms gives a fully renormalized result which can be used to…

General Relativity and Quantum Cosmology · Physics 2014-06-23 Katie E. Leonard , R. P. Woodard

The back reaction of gravitational perturbations in a homogeneous background is determined by an effective energy-momentum tensor quadratic in the perturbations. We show that this nonlinear feedback effect is important in the case of long…

General Relativity and Quantum Cosmology · Physics 2007-05-23 L. R. Abramo , R. H. Brandenberger , V. M. Mukhanov

Frame-dragging effect manifests itself as polarization direction rotation when linearly polarized electromagnetic/gravitational wave scatters from a spinning point source through gravitational interactions, an effect also known as the…

High Energy Physics - Theory · Physics 2022-10-21 Jung-Wook Kim

This article provides a cartoon of the quantization of General Relativity using the ideas of effective field theory. These ideas underpin the use of General Relativity as a theory from which precise predictions are possible, since they show…

General Relativity and Quantum Cosmology · Physics 2007-05-23 C. P. Burgess

After a brief review of the different approaches to predict the possible quantum gravity corrections to quantum field theory, we discuss in some detail the formulation based on a Gaussian reference frame fixing. Then, we implement this…

General Relativity and Quantum Cosmology · Physics 2023-06-12 Giulia Maniccia , Giovanni Montani , Leonardo Torcellini

Quantum-gravity corrections (in the form of a minimal length) to the Feynman propagator for a free scalar particle in $\mathbb{R}^D$ are shown to be the result of summing over all dimensions $D'\geq D$ of $\mathbb{R}^{D'}$, each summand…

General Relativity and Quantum Cosmology · Physics 2020-01-24 Erik Curiel , Felix Finster , J. M. Isidro

It was shown recently that unambiguous description of electromagnetic environments requires electromagnetic potentials; knowledge only of electric and magnetic fields is insufficient and can lead to error. Consequences of that demonstration…

General Physics · Physics 2020-03-26 H. R. Reiss

We discuss the effects of a strong magnetic field in Quantum Wires. We show how the presence of a magnetic field modifies the role played by % which %coefficients corresponding to electron electron interaction % and the Fermi velocity…

Strongly Correlated Electrons · Physics 2009-11-11 S. Bellucci , P. Onorato

A quadratic semiclassical theory, regarding the interaction of gravity with a massive scalar quantum field, is considered in view of the renormalizable energy-momentum tensor in a multi-dimensional curved spacetime. According to it, a…

High Energy Physics - Theory · Physics 2009-11-07 K. Kleidis , A. Kuiroukidis , D. B. Papadopoulos

We successfully reproduced the derivation of Efimov energy levels in three-dimensional space. In subsequent discussions, we extended this derivation to Schwarzschild spacetime. By combining the Schr\"odinger equation in curved spacetime, we…

General Relativity and Quantum Cosmology · Physics 2025-09-09 Yixuan Feng

We illustrate how it is possible to calculate the quantum gravitational effects on the spectra of primordial scalar/tensor perturbations starting from the canonical, Wheeler-De Witt, approach to quantum cosmology. The composite…

General Relativity and Quantum Cosmology · Physics 2016-12-28 Alexander Y. Kamenshchik , Alessandro Tronconi , Giovanni Venturi

We look at the various aspects of treating general relativity as a quantum theory. It is briefly studied how to consistently quantize general relativity as an effective field theory. A key achievement here is the long-range low-energy…

High Energy Physics - Theory · Physics 2007-05-23 Niels Emil Jannik Bjerrum-Bohr

Quantum gravity phenomenology has been historically regarded as a difficult endeavour, due to the apparent scarcity of phenomena involving the required scales of length (Planck length $l_P$) and energy (Planck energy $E_P$). It was…

High Energy Physics - Phenomenology · Physics 2023-10-10 Andrea Bevilacqua , Jerzy Kowalski-Glikman , Wojciech Wislicki

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 consider functional-integral quantisation of the moduli of all quantum metrics defined as square-lengths $a$ on the edges of a Lorentzian square graph. We determine correlation functions and find a fixed relative uncertainty $\Delta…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Shahn Majid

A geometrodynamical quantization of an inflationary universe is considered in order to estimate quantum-gravity effects for the primordial perturbations. Contrary to previous studies in the literature, the back-reaction produced by all the…

General Relativity and Quantum Cosmology · Physics 2022-01-27 David Brizuela , Irene de Leon

We study the Weyl vector fields which can play an important role in quantum gravity. The metric obtains its dynamical content after dynamical symmetry breaking in the phase of the effective Einstein gravity which is induced by quantum Weyl…

General Relativity and Quantum Cosmology · Physics 2010-09-28 B. S. Park , D. G. Pak

At first, we discuss parallels electric and magnetic fields solutions in a gravitational background. Then, considering eletromagnetic and gravitational waves symmetries we show a particular solution for stationary gravitational waves.…

High Energy Physics - Theory · Physics 2007-05-23 Carlos Pinheiro , J. A. Helayel-Neto , Gilmar S. Dias
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