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We compute the one-loop quantum corrections to the potential of ghost-free massive gravity. We show how the mass of external matter fields contribute to the running of the cosmological constant, but do not change the ghost-free structure of…

High Energy Physics - Theory · Physics 2013-11-13 Claudia de Rham , Lavinia Heisenberg , Raquel H. Ribeiro

In this paper we consider a high energy scattering of free scalar particles through a gravitational field. The one particle t-channel amplitude of the scattering in this limit is governed by reggeized graviton. Therefore, we discuss an…

High Energy Physics - Theory · Physics 2024-09-23 Sergey Bondarenko

Some time ago, it has been suggested that gravitons can acquire mass in the process of spontaneous symmetry breaking of diffeomorphisms through the condensation of scalar fields [Chamseddine and Mukhanov, JHEP, 2010]. Taking this…

General Relativity and Quantum Cosmology · Physics 2024-09-02 Kimet Jusufi , Ahmed Farag Ali , Abdelrahman Yasser , Nader Inan , A. Y. Ellithi

Within the thermodynamic model of gravity the dark energy is identified with the energy of collective gravitational interactions of all particles in the universe, which is missing in the standard treatments. For the model-universe we…

General Relativity and Quantum Cosmology · Physics 2014-12-01 Merab Gogberashvili

We derive a closed form expression for the sum of all the infrared divergent contributions to the free-energy of a gas of gravitons. An important ingredient of our calculation is the use of a gauge fixing procedure such that the graviton…

High Energy Physics - Theory · Physics 2014-11-18 F. T. Brandt , J. Frenkel , D. G. C. McKeon , J. B. Siqueira

We study gravitational shock waves using scattering amplitude techniques. After first reviewing the derivation in General Relativity as an ultrarelativistic boost of a Schwarzschild solution, we provide an alternative derivation by…

High Energy Physics - Theory · Physics 2020-12-03 Andrea Cristofoli

We first discuss the use of dimensional arguments (and of the quadrupolar emission hypothesis) in the derivation of the gravitational power radiated on a circular orbit. Then, we show how to simply obtain the instantaneous power radiated on…

Popular Physics · Physics 2015-05-13 C. Bracco , J. -P. Provost , P. Salati

Motivated by the dark energy issue, the one-loop quantization approach for a family of relativistic cosmological theories is discussed in some detail. Specifically, general $f(R)$ gravity at the one-loop level in a de Sitter universe is…

High Energy Physics - Theory · Physics 2009-09-17 Guido Cognola , Emilio Elizalde , Shin'ichi Nojiri , Sergei D. Odintsov , Sergio Zerbini

We compute some components of the graviton propagator in loop quantum gravity, using the spinfoam formalism, up to some second order terms in the expansion parameter.

General Relativity and Quantum Cosmology · Physics 2011-05-05 Eugenio Bianchi , Leonardo Modesto , Carlo Rovelli , Simone Speziale

We show by symplectically realizing the one spatial Aristotle Lie group that the hamiltonian of the associated elementary system consist of a gravitational energy only. No kinetic term.

Mathematical Physics · Physics 2007-05-23 Joachim Nzotungicimpaye

We give a general expression for the static potential energy of the gravitational interaction of two massive particles, in terms of an invariant vacuum expectation value of the quantized gravitational field. This formula holds for…

High Energy Physics - Theory · Physics 2008-02-03 Giovanni Modanese

Puts forward a complete scenario for interpreting nonlinear field theories highlighting the role played by gravitational self--energy in enabling a consistent revival of the Schroedinger approach to unifying micro and macro physics.

Quantum Physics · Physics 2015-06-26 K. R. W. Jones

We construct the gravitational energy-momentum pseudo-tensor of up to fourth-order conformally invariant theories of gravity. Then we linearize the pseudo-tensor and use its average over a macroscopic region to find the energy and momentum…

General Relativity and Quantum Cosmology · Physics 2025-05-29 F. F. Faria

When graviton loops are taken into account, the background metric obtained as a solution to the one-loop corrected Einstein equations turns out to be gauge fixing dependent. Therefore it is of no physical relevance. Instead we consider a…

High Energy Physics - Theory · Physics 2014-11-18 Diego A. R. Dalvit , Francisco D. Mazzitelli

Beyond the Newtonian approximation, gravitational fields in general relativity can be described using a formalism known as gravitoelectromagnetism. In this formalism a vector potential, the gravitomagnetic potential, arises as a result of…

General Relativity and Quantum Cosmology · Physics 2021-09-02 Viktor T. Toth

Recently, we have suggested some semi-quantitative Hamiltonian for an electron in a hydrogen atom in a weak gravitational field, which takes into account quantum effects of electron motion in the atom. We have shown that this Hamiltonian…

General Relativity and Quantum Cosmology · Physics 2016-10-12 Andrei G. Lebed

We present exact energy eigenvalues and eigenfunctions of the one-dimensional hydrogen atom in the framework of the Generalized (Gravitational) Uncertainty Principle (GUP). This form of GUP is consistent with various theories of quantum…

High Energy Physics - Theory · Physics 2013-02-19 Pouria Pedram

The quantisation of scalar field theory and Einstein gravity is investigated using a fully covariant background field formalism, including Vilkovisky-DeWitt corrections. The one-loop divergences, which are relevant for the consistency of…

High Energy Physics - Theory · Physics 2014-09-17 Ian G. Moss

Corrections to the Newtonian gravitational potential from general relativity can be derived in a combined expansion around flat spacetime and a small velocity of the interacting bodies. We present the calculation of the static five-loop…

General Relativity and Quantum Cosmology · Physics 2019-12-09 Johannes Blümlein , Andreas Maier , Peter Marquard

On a particle moving with variable acceleration in the flat space-time affects the self-force due to outgoing radiation. The gravitational fields bring an additional contribution to self-force due to scattering waves on the curved…

General Relativity and Quantum Cosmology · Physics 2021-06-22 Nail Khusnutdinov
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