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Gravitational wave observatories targeted for compact binary coalescence, such as LIGO and VIRGO, require various theoretical inputs for their efficient detection. One of such inputs are analytical description of binary dynamics at…

高能物理 - 理论 · 物理学 2020-07-27 Jung-Wook Kim

A novel approach to the Effective One-Body description of gravitationally interacting two-body systems is introduced. This approach is based on the post-Minkowskian approximation scheme (perturbation theory in G, without assuming small…

广义相对论与量子宇宙学 · 物理学 2016-11-15 Thibault Damour

As recent work continues to demonstrate, the study of relativistic scattering processes leads to valuable insights and computational tools applicable to the relativistic bound-orbit two-body problem. This is particularly relevant in the…

广义相对论与量子宇宙学 · 物理学 2021-09-14 M. V. S. Saketh , Justin Vines , Jan Steinhoff , Alessandra Buonanno

We revisit the old problem of the self-force on a particle moving in a weak-field spacetime in the context of renewed interest in two-body gravitational scattering. We analytically calculate the scalar, electromagnetic, and gravitational…

广义相对论与量子宇宙学 · 物理学 2024-06-06 Samuel E. Gralla , Kunal Lobo

The post-Minkowskian expansion of Einstein's general theory of relativity has received much attention in recent years due to the possibility of harnessing the computational power of modern amplitude calculations in such a classical context.…

高能物理 - 理论 · 物理学 2022-06-22 N. E. J. Bjerrum-Bohr , P. H. Damgaard , L. Plante , P. Vanhove

We present a general framework for calculating post-Minskowskian, classical, conservative Hamiltonians for $N$ non-spinning bodies in general relativity from relativistic scattering amplitudes. Novel features for $N>2$ are described…

高能物理 - 理论 · 物理学 2023-03-01 Callum R. T. Jones , Mikhail Solon

We obtain a first order post-Minkowskian two-body effective potential whose post-Newtonian expansion directly reproduces the Einstein-Infeld-Hoffmann potential. Post-Minkowskian potentials can be extracted from on-shell scattering…

高能物理 - 理论 · 物理学 2021-02-03 Gianluca Grignani , Troels Harmark , Marta Orselli , Andrea Placidi

The Hamiltonian for a system of relativistic bodies interacting by their gravitational field is found in the post-Minkowskian approximation, including all terms linear in the gravitational constant. It is given in a surprisingly simple…

广义相对论与量子宇宙学 · 物理学 2010-03-03 Tomas Ledvinka , Gerhard Schaefer , Jiri Bicak

In this work the worldline quantum field theory (WQFT) approach to computing observables of the classical general relativistic two-body system is presented. Compact bodies such as black holes or neutron stars are described in an effective…

高能物理 - 理论 · 物理学 2023-08-09 Gustav Uhre Jakobsen

The Effective One-Body formalism of the gravitational two-body problem in general relativity is reconsidered in the light of recent scattering amplitude calculations. Based on the kinematic relationship between momenta and the effective…

高能物理 - 理论 · 物理学 2021-11-24 Poul H. Damgaard , Pierre Vanhove

The Hamiltonian for a system of relativistic bodies interacting by their gravitational field is found in the post-Minkowskian approximation, including all terms linear in the gravitational constant. It is given in a surprisingly simple…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Tomas Ledvinka , Gerhard Schaefer , Jiri Bicak

We employ one-loop scattering amplitudes in Einstein-Maxwell theory to compute the classical Hamiltonian of a binary system of two charged, non-spinning compact objects. The Hamiltonian is valid to all orders in velocity and up to second…

高能物理 - 理论 · 物理学 2026-03-18 Allan Alonzo-Artiles , Manfred Kraus

We outline the program to apply modern quantum field theory methods to calculate observables in classical general relativity through a truncation to classical terms of the multi-graviton two-body on-shell scattering amplitudes between…

高能物理 - 理论 · 物理学 2018-10-31 N. E. J. Bjerrum-Bohr , Poul H. Damgaard , Guido Festuccia , Ludovic Planté , Pierre Vanhove

Using the implicit function theorem we demonstrate that solutions to the classical part of the relativistic Lippmann-Schwinger equation are in one-to-one correspondence with those of the energy equation of a relativistic two-body system. A…

高能物理 - 理论 · 物理学 2020-08-26 N. E. J. Bjerrum-Bohr , Andrea Cristofoli , Poul H. Damgaard

We extract the long-range gravitational potential between two scalar particles with arbitrary masses from the two-to-two elastic scattering amplitude at 2nd Post-Minkowskian order in arbitrary dimensions. In contrast to the four-dimensional…

高能物理 - 理论 · 物理学 2020-08-26 Andrea Cristofoli , Poul H. Damgaard , Paolo Di Vecchia , Carlo Heissenberg

Using the spinning, supersymmetric Worldline Quantum Field Theory formalism we compute the momentum impulse and spin kick from a scattering of two spinning black holes or neutron stars up to quadratic order in spin at third post-Minkowskian…

高能物理 - 理论 · 物理学 2023-07-26 Gustav Uhre Jakobsen , Gustav Mogull

New structural properties of post-Minkowskian (PM) gravity are derived, notably within its effective one body (EOB) formulation. Our results concern both the mass dependence, and the high-energy behavior, of the classical scattering angle.…

广义相对论与量子宇宙学 · 物理学 2020-07-22 Thibault Damour

An exponential representation of the S-matrix provides a natural framework for understanding the semi-classical limit of scattering amplitudes. While sharing some similarities with the eikonal formalism it differs from it in details.…

高能物理 - 理论 · 物理学 2021-12-08 Poul H. Damgaard , Ludovic Plante , Pierre Vanhove

The worldlines (in harmonic coordinates) of two gravitationally interacting massive bodies at the second post-Minkowskian order are described in explicit form. Both the conservative case and the radiation-reacted case are considered. We use…

广义相对论与量子宇宙学 · 物理学 2024-09-02 Donato Bini , Thibault Damour , Andrea Geralico

We study the gravitational radiation emitted during the scattering of two spinless bodies in the post-Minkowskian Effective Field Theory approach. We derive the conserved stress-energy tensor linearly coupled to gravity and the classical…

广义相对论与量子宇宙学 · 物理学 2021-07-21 Stavros Mougiakakos , Massimiliano Maria Riva , Filippo Vernizzi
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