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We present the conservative dynamics of compact binaries to third order in the post-Minkowskian approximation in a theory that extends general relativity by a massless scalar field coupled to the Gauss-Bonnet invariant. We employ the…

General Relativity and Quantum Cosmology · Physics 2026-02-10 Gabriel Luz Almeida , Yuchen Du , Zhengwen Liu , Hongbin Wang

We study cosmological correlators in de Sitter quantum gravity in the limit where $G_N \to 0$. This limit is distinct from a nongravitational QFT because the gravitational constraints still force states and observables to be de Sitter…

High Energy Physics - Theory · Physics 2025-07-23 Tuneer Chakraborty , Ashik H , Suvrat Raju

We describe various expansion schemes that can be used to study gravitational clustering. Obtained from the equations of motion or their path-integral formulation, they provide several perturbative expansions that are organized in different…

Astrophysics · Physics 2009-11-13 P. Valageas

This paper combines the post-Minkowskian expansion of general relativity with the language of intersection theory. Because of the nature of the soft limit inherent to the post-Minkowskian expansion, the intersection-based approach is of…

General Relativity and Quantum Cosmology · Physics 2024-09-04 Hjalte Frellesvig , Toni Teschke

We revisit the quantum-amplitude-based derivation of the gravitational waveform emitted by the scattering of two spinless massive bodies at the third order in Newton's constant, $h \sim G+G^2+G^3$ (one-loop level), and correspondingly…

High Energy Physics - Theory · Physics 2024-06-24 Donato Bini , Thibault Damour , Stefano De Angelis , Andrea Geralico , Aidan Herderschee , Radu Roiban , Fei Teng

We investigate the statistical equilibrium properties of a system of classical particles interacting via Newtonian gravity, enclosed in a three-dimensional spherical volume. Within a mean-field approximation, we derive an equation for the…

Statistical Mechanics · Physics 2014-10-13 E. V. Votyakov , A. De Martino , D. H. E. Gross

We compute the running of the cosmological constant and Newton's constant taking into account the effect of quantum fields with any spin between 0 and 2. We find that Newton's constant does not vary appreciably but the cosmological constant…

High Energy Physics - Theory · Physics 2009-10-30 Djamel Dou , Roberto Percacci

Electromagnetic and gravitational central-field problems are studied with relativistic quantum mechanics on curved space-time backgrounds. Corrections to the transition current are identified. Analogies of the gravitational and…

General Physics · Physics 2015-02-04 U. D. Jentschura , J. H. Noble , I. Nandori

We consider a quantum scalar field on an arbitrary gravitational background. We obtain the effective {\it in-in} equations for the gravitational fields using a covariant and non-local approximation for the effective action proposed by…

General Relativity and Quantum Cosmology · Physics 2009-10-22 D. A. R. Dalvit , F. D. Mazzitelli

We compute the potential-graviton contributions to the conservative scattering angle of two non-spinning bodies in maximal supergravity at fifth order in Newton's constant, including second-order self-force effects. Our goal is to tackle…

High Energy Physics - Theory · Physics 2026-01-21 Zvi Bern , Enrico Herrmann , Radu Roiban , Michael S. Ruf , Alexander V. Smirnov , Vladimir A. Smirnov , Mao Zeng

The energy of a compact binary system at the fifth post-Newtonian order is explicitly computed in the post-Minkowskian approximation by means of the Effective Field Theory approach. This result allows to determine, for the first time beyond…

General Relativity and Quantum Cosmology · Physics 2014-01-27 Stefano Foffa

We derive the gravitational radiation-reaction (RR) force in the harmonic coordinate system at the fourth-and-a-half post-Newtonian (4.5PN) order in the case of compact binary systems. Dimensional regularization is used to treat the…

General Relativity and Quantum Cosmology · Physics 2026-05-27 Luc Blanchet , Guillaume Faye , Emeric Seraille , David Trestini

We compute the non-Gaussian corrections to the energy density and anisotropies of gravitational waves induced during the radiation era after an ultra-slow-roll phase of inflation by using a diagrammatic approach, and present the…

Cosmology and Nongalactic Astrophysics · Physics 2025-04-15 Juan Álvarez Ruiz , Julián Rey

This dissertation consists of four parts. In Part I, we briefly review fundamental theories of gravity, performed experimental tests, and gravitational waves. The framework and the methods that we use in our calculations are discussed in…

General Relativity and Quantum Cosmology · Physics 2013-08-27 Saeed Mirshekari

We revisit the problem of the equations of motion of a system of $N$ self-interacting massive particles (without spins) in the first post-Minkowskian (1PM) approximation of general relativity. We write the equations of motion, gravitational…

General Relativity and Quantum Cosmology · Physics 2018-10-17 Luc Blanchet , Athanassios S. Fokas

In the framework of linearized quantum gravity, we study the quantum gravitational interaction between two nonpointlike objects induced by fluctuating gravitomagnetic fields in vacuum. We find that, in addition to the quantum gravitational…

General Relativity and Quantum Cosmology · Physics 2024-06-26 Di Hao , Jiawei Hu , Hongwei Yu

We derive the gravitational field and equations of motion of compact binary systems up to the 5/2 post-Newtonian approximation of general relativity (where radiation-reaction effects first appear). The approximate post-Newtonian…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Luc Blanchet , Guillaume Faye , Bénédicte Ponsot

This work is devoted to the discussion of an idea that gravitational interactions might be residual interactions of strong and electromagnetic interactions. Then, absence of the carriers of the gravitational interactions finds a natural…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Kh. M. Beshtoev

This work presents a first study of a radiative calculation for the gravitational axial anomaly in the massless Abelian Higgs model. The two loop contribution to the anomalous correlation function of one axial current and two…

High Energy Physics - Theory · Physics 2009-10-31 Jiannis Pachos , Ricardo Schiappa

The problem of a compact binary system whose components move on circular orbits is addressed using two different approximation techniques in general relativity. The post-Newtonian (PN) approximation involves an expansion in powers of…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Luc Blanchet , Steven Detweiler , Alexandre Le Tiec , Bernard F. Whiting