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In the context of quantum field theories in curved spacetime, we compute the effective action of the transition amplitude from vacuum to vacuum in the presence of an external gravitational field. The imaginary part of resulted effective…

High Energy Physics - Theory · Physics 2009-11-07 She-Sheng Xue

Quantum fluctuations of the electromagnetic field in the medium surrounding two discharged macroscopic polarizable bodies induce a force between the two bodies, the so called Casimir force. In the last two decades many experiments have…

Quantum Physics · Physics 2017-08-02 Giuseppe Bimonte

The first order perturbations of the energy levels of a hydrogen atom in central internal gravitational field are investigated. The internal gravitational field is produced by the mass of the atomic nucleus. The energy shifts are calculated…

General Relativity and Quantum Cosmology · Physics 2009-03-19 Zhen-Hua Zhao , Yu-Xiao Liu , Xi-Guo Li

The existence of gravitational radiation is a natural prediction of any relativistic description of the gravitational interaction. In this chapter, we focus on gravitational waves, as predicted by Einstein's general theory of relativity.…

General Relativity and Quantum Cosmology · Physics 2017-04-26 Alexandre Le Tiec , Jérôme Novak

We study the motion of a secondary celestial body under the influence of the corrected gravitational force of a primary. We study the effect of quantum and relativistic corrections to the gravitational potential of a primary body acting on…

General Physics · Physics 2015-07-19 Ioannis Haranas , Omiros Ragos , Ioannis Gkigkitzis , Ilias Kotsireas

One of the main technical obstacles in constructing a consistent theory of quantum gravity is that the metric itself defines the causal structure required for quantization. This motivates implementing quantum aspects of gravity through an…

General Relativity and Quantum Cosmology · Physics 2025-12-16 Johas Morales , Yuri Bonder

The lack of a well-established solution for the gravitational energy problem might be one of the reasons why a clear road to quantum gravity does not exist. In this paper, the gravitational energy is studied in detail with the help of the…

General Relativity and Quantum Cosmology · Physics 2023-08-25 J. B. Formiga , João Duarte

This paper revisits quantum corrections to gravity. It was shown previously by other authors that quantum field theories in curved space time provide quadratic curvature forms as quantum corrections to gravity in a conformally flat metric.…

General Relativity and Quantum Cosmology · Physics 2012-08-24 Yukio Tomozawa

Current models of quantum interference experiments in external gravitational fields lack a common framework: while matter-wave interferometers are commonly described using the Schr\"odinger equation with a Newtonian potential, gravitational…

General Relativity and Quantum Cosmology · Physics 2025-12-11 Thomas B. Mieling , Thomas Morling , Christopher Hilweg , Philip Walther

We present a general relativistic framework for studying gravitational effects in quantum mechanical phenomena. We concentrate our attention on the case of ultra-relativistic, spin-1/2 particles propagating in Kerr spacetime. The…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Kohkichi Konno , Masumi Kasai

A nonintegrable phase-factor global approach to gravitation is developed by using the similarity of teleparallel gravity with electromagnetism. The phase shifts of both the COW and the gravitational Aharonov-Bohm effects are obtained. It is…

General Relativity and Quantum Cosmology · Physics 2009-11-10 R. Aldrovandi , J. G. Pereira , K. H. Vu

We point out that, if one accepts the view that the standard second on an atomic clock is dilated at low gravitational potential (ordinary gravitational time dilation), then the standard meter must also be dilated at low gravitational…

General Relativity and Quantum Cosmology · Physics 2009-02-18 Richard J. Cook

Using as inspiration the well known chiral effective lagrangian describing the interactions of pions at low energies, in these lectures we review the quantization procedure of Einstein gravity in the spirit of effective field theories. As…

High Energy Physics - Theory · Physics 2014-11-20 D. Espriu , D. Puigdomenech

Loop corrections to the gravitational potential are usually inferred from scattering amplitudes, which seems quite different from how the linearized Einstein equations are solved with a static, point mass to give the classical potential. In…

General Relativity and Quantum Cosmology · Physics 2010-12-06 Sohyun Park , R. P. Woodard

We treat general relativity as an effective field theory, obtaining the full nonanalytic component of the scattering matrix potential to one-loop order. The lowest order vertex rules for the resulting effective field theory are presented…

High Energy Physics - Theory · Physics 2014-11-18 N. E. J Bjerrum-Bohr , John F. Donoghue , Barry R. Holstein

In the study of covariant wave equations, linear gravity manifests itself through the metric deviation $\gamma_{\mu\nu}$ and a two-point vector potential $K_{\lambda}$ itself constructed from $\gamma_{\mu\nu}$ and its derivatives. The…

General Relativity and Quantum Cosmology · Physics 2017-10-04 Giorgio Papini

If gravitons are super-strong interacting particles and the low-temperature graviton background exists, the basic cosmological conjecture about the Dopplerian nature of redshifts may be false. In this case, a full magnitude of cosmological…

High Energy Physics - Theory · Physics 2007-05-23 Michael A. Ivanov

We consider quantum mechanical effects of the modified Newtonian potential in the presence of extra compactified dimensions. We develop a method to solve the resulting Schroedinger equation and determine the energy shifts caused by the…

High Energy Physics - Phenomenology · Physics 2011-06-27 E. G. Floratos , G. K. Leontaris , N. D. Vlachos

We study the quantum force between classical objects mediated by massive scalar fields bilinearly coupled to matter. The existence of such fields is motivated by dark matter, dark energy, and by the possibility of a hidden sector beyond the…

High Energy Physics - Theory · Physics 2023-08-21 Philippe Brax , Sylvain Fichet

We show that the locally constant force necessary to get a stable hyperbolic motion regime for classical charged point particles, actually, is a combination of an applied external force and of the electromagnetic radiation reaction force.…

General Relativity and Quantum Cosmology · Physics 2014-11-21 Mario Goto , Paulo Laerte Natti , Erica Regina Takano Natti