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In this paper, we revisit and complete our preceding work on the Fokker Lagrangian describing the dynamics of compact binary systems at the fourth post-Newtonian (4PN) order in harmonic coordinates. We clarify the impact of the non-local…

广义相对论与量子宇宙学 · 物理学 2017-03-28 Laura Bernard , Luc Blanchet , Alejandro Bohé , Guillaume Faye , Sylvain Marsat

We develop a novel approach to the Wilsonian renormalisation of Hamiltonians for 2-dimensional quantum field theories on the cylinder described in the UV by marginally relevant deformations of conformal field theories. To introduce a…

高能物理 - 理论 · 物理学 2026-02-24 Ricky Li , Benoit Vicedo

We introduce a new methodology for deriving the conservative dynamics of gravitationally interacting binary systems. Our approach combines, in a novel way, several theoretical formalisms: post-Newtonian, post-Minkowskian,…

广义相对论与量子宇宙学 · 物理学 2019-12-11 Donato Bini , Thibault Damour , Andrea Geralico

We compute the contribution to the Lagrangian from the leading order (2.5 post-Newtonian) radiation reaction and the quadrupolar gravitational waves emitted from a binary system using the effective field theory (EFT) approach of Goldberger…

广义相对论与量子宇宙学 · 物理学 2010-04-14 Chad R. Galley , Manuel Tiglio

Many binary systems of interest for gravitational-wave astronomy are orbited by a third distant body, which can considerably alter their relativistic dynamics. Precision computations are needed to understand the interplay between…

广义相对论与量子宇宙学 · 物理学 2023-02-22 Adrien Kuntz , Francesco Serra , Enrico Trincherini

We consider a single particle tunnelling in a tight-binding model with nearest-neighbour couplings, in the presence of a periodic high-frequency force. An effective Hamiltonian for the particle is derived using an averaging method…

其他凝聚态物理 · 物理学 2014-02-07 A. P. Itin , A. I. Neishtadt

Gravitational waves emitted by coalescing binary systems containing neutron stars (or other compact objects) carry signatures of the stars' internal equation of state, notably, through the influence of tidal deformations during the binary's…

广义相对论与量子宇宙学 · 物理学 2020-03-11 Batoul Banihashemi , Justin Vines

We apply the renormalisation-group to two-body scattering by a combination of known long-range and unknown short-range forces. A crucial feature is that the low-energy effective theory is regulated by applying a cut-off in the basis of…

核理论 · 物理学 2009-11-07 Thomas Barford , Michael C. Birse

The functional renormalisation group is applied to the effective action for scattering of two nonrelativistic fermions. The resulting physical effective action is shown to contain the correct threshold singularity. The corresponding "bare"…

核理论 · 物理学 2008-11-26 Michael C. Birse

Upcoming observational runs of the LIGO-Virgo-KAGRA collaboration, and future gravitational-wave (GW) detectors on the ground and in space, require waveform models more accurate than currently available. High-precision waveform models can…

广义相对论与量子宇宙学 · 物理学 2024-01-24 Mohammed Khalil , Alessandra Buonanno , Jan Steinhoff , Justin Vines

We describe an infinite-parametric class of effective metric Lagrangians that arise from an underlying theory with two propagating degrees of freedom. The Lagrangians start with the Einstein-Hilbert term, continue with the standard R^2,…

高能物理 - 理论 · 物理学 2010-04-21 Kirill Krasnov

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

GW170817, the milestone gravitational-wave event originated from a binary neutron star merger, has allowed scientific community to place a constraint on the equation of state of neutron stars by extracting the leading-order,…

广义相对论与量子宇宙学 · 物理学 2018-12-19 Xisco Jimenez-Forteza , Tiziano Abdelsalhin , Paolo Pani , Leonardo Gualtieri

The equations of motion of compact binary systems and their associated Lagrangian formulation have been derived in previous works at the third post-Newtonian (3PN) approximation of general relativity in harmonic coordinates. In the present…

广义相对论与量子宇宙学 · 物理学 2017-08-23 Luc Blanchet , Bala Iyer

We find a two-degree-of-freedom Hamiltonian for the time-symmetric problem of straight line motion of two electrons in direct relativistic interaction. This time-symmetric dynamical system appeared 100 years ago and it was popularized in…

数学物理 · 物理学 2009-11-10 Efrain Buksman Hollander , Jayme De Luca

Within the context of the Effective Field Theory (EFT) framework to gravitational dynamics, we compute the Hamiltonian, source quadrupole moment, and gravitational-wave energy flux for (non-spinning) inspiralling compact binaries at…

广义相对论与量子宇宙学 · 物理学 2024-08-27 Loris Amalberti , Zixin Yang , Rafael A. Porto

The session on effective Hamiltonians and chiral dynamics is overviewed, combined with a review on the bound-state problem. The progress during this session allows to remove all dependence on regularization in an effective interaction, thus…

高能物理 - 唯象学 · 物理学 2014-11-17 Hans-Christian Pauli

Leveraging scattering information to describe binary systems in generic orbits requires identifying local- and nonlocal-in-time tail effects. We report here the derivation of the universal (non-spinning) local-in-time conservative dynamics…

高能物理 - 理论 · 物理学 2024-05-07 Christoph Dlapa , Gregor Kälin , Zhengwen Liu , Rafael A. Porto

GW200105 is the first gravitational wave detection to show signs of eccentricity, it also is a neutron star - blackhole binary. This raises the need for waveforms that incorporate tidal effects on quasi-elliptic orbits. We tackle the…

广义相对论与量子宇宙学 · 物理学 2026-02-16 Quentin Henry , Anna Heffernan

We compute the gravitational interaction of two coalescing compact objects at sixth post-Newtonian order in the static limit, employing the diagrammatic approach within the effective field theory framework of General Relativity. The…