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We introduce a -- somewhat holographic -- dictionary between gravitational observables for scattering processes (measured at the "boundary") and adiabatic invariants for bound orbits (in the "bulk"), to all orders in the Post-Minkowskian…

High Energy Physics - Theory · Physics 2020-06-03 Gregor Kälin , Rafael A. Porto

Measurements of the binary black hole spin distribution from the growing catalog of gravitational-wave observations can help elucidate the astrophysical processes shaping the formation and evolution of these systems. Spin-orbit resonances…

High Energy Astrophysical Phenomena · Physics 2026-05-29 Sylvia Biscoveanu

Hamiltonian formalisms provide powerful tools for the computation of approximate analytic solutions of the Einstein field equations. The post-Newtonian computations of the explicit analytic dynamics and motion of compact binaries are…

General Relativity and Quantum Cosmology · Physics 2024-05-20 Gerhard Schäfer , Piotr Jaranowski

We derive an effective Hamiltonian for spin dynamics of fluctuating smectic stripes from the t-J model in the weak coupling limit t >> J. Besides the modulation of spin magnitude, the high energy hopping term would induce a low-energy…

Superconductivity · Physics 2007-05-23 Chi-Ho Cheng

We complete the post-Newtonian (PN) prediction at the 3.5PN order for the spin contributions to the gravitational waveforms emitted by inspiraling compact binaries, in the case of quasi-circular, equatorial orbits, where both spins are…

General Relativity and Quantum Cosmology · Physics 2022-12-21 Quentin Henry , Sylvain Marsat , Mohammed Khalil

We set up a procedure to systematically obtain Compton-like amplitudes in an arbitrary-spin theory, exploiting their factorization properties, and colour-kinematics duality. We furthermore investigate the constraining of Wilson coefficients…

High Energy Physics - Theory · Physics 2025-03-31 Ingrid Vazquez-Holm , Andres Luna

Accurate and efficient modeling of the dynamics of binary black holes (BBHs) is crucial to their detection through gravitational waves (GWs), with LIGO/Virgo/KAGRA, and LISA in the future. Solving the dynamics of a BBH system with arbitrary…

General Relativity and Quantum Cosmology · Physics 2026-04-07 Sashwat Tanay , Leo C. Stein , Gihyuk Cho

We compute the semi-classical potential arising from a generic theory of cubic gravity, a higher derivative theory of spin-2 particles, in the framework of modern amplitude techniques. We show that there are several interesting aspects of…

High Energy Physics - Theory · Physics 2020-01-29 William T Emond , Nathan Moynihan

Loop-level scattering amplitudes for massless particles have singularities in regions where tree amplitudes are perfectly smooth. For example, a $2\to4$ gluon scattering process has a singularity in which each incoming gluon splits into a…

High Energy Physics - Theory · Physics 2016-08-24 Lance J. Dixon , Ilya Esterlis

We study 2-to-2 scattering amplitudes of massless spin one particles in $d=4$ space-time dimensions, like real world photons. We define a set of non-perturbative observables (Wilson coefficients) which describe these amplitudes at low…

High Energy Physics - Theory · Physics 2024-10-25 Kelian Häring , Aditya Hebbar , Denis Karateev , Marco Meineri , João Penedones

We calculate the motion of binary mass systems in gravity up to the sixth post--Newtonian order to the $G_N^3$ terms ab initio using momentum expansions within an effective field theory approach based on Feynman amplitudes in harmonic…

General Relativity and Quantum Cosmology · Physics 2020-07-15 J. Blümlein , A. Maier , P. Marquard , G. Schäfer

For a self-gravitating particle of mass \mu in orbit around a Kerr black hole of mass M >> \mu, we compute the O(\mu/M) shift in the frequency of the innermost stable circular equatorial orbit (ISCEO) due to the conservative piece of the…

General Relativity and Quantum Cosmology · Physics 2014-10-21 Soichiro Isoyama , Leor Barack , Sam R. Dolan , Alexandre Le Tiec , Hiroyuki Nakano , Abhay G. Shah , Takahiro Tanaka , Niels Warburton

We investigate the hyperbolic scattering of test particles, spinning test particles and particles with spin-induced quadrupolar structure by a Kerr black hole in the ultrarelativistic regime. We also study how the features of the scattering…

General Relativity and Quantum Cosmology · Physics 2018-08-08 Donato Bini , Andrea Geralico

This work provides, at lower order, general analytical solutions for the orbital separation, merging time, and orbital frequency of binary systems emitting gravitational waves while being submitted to mass variations. Specific features,…

General Relativity and Quantum Cosmology · Physics 2023-06-16 Baptiste Blachier , Aurélien Barrau , Killian Martineau , Cyril Renevey

Extreme mass-ratio inspirals are among the key sources of gravitational waves for the Laser Interferometer Space Antenna space-based gravitational-wave detector. Achieving sufficient accuracy in the gravitational-wave template for these…

General Relativity and Quantum Cosmology · Physics 2025-11-14 Gabriel Andres Piovano , Christiana Pantelidou , Jake Mac Uilliam , Vojtěch Witzany

This work constitutes the second part of a series of studies that aim to utilise tools from Hamiltonian mechanics to investigate the motion of an extended body in general relativity. The first part of this work [Refs. [1, 2]] constructed a…

General Relativity and Quantum Cosmology · Physics 2025-03-11 Paul Ramond , Soichiro Isoyama

We extend the pion-nucleus multiple-scattering framework to include detailed second-order rescattering dynamics for nuclei with non-zero isospin. To account for intermediate charge-exchange and nucleon spin-flip effects, we develop a…

We derive the gauge-general expressions of the two gyro-gravitomagnetic functions entering the spin-orbit sector of the effective-one-body (EOB) Hamiltonian up to the fifth-and-half post-Newtonian (5.5PN) order. Our results include both…

General Relativity and Quantum Cosmology · Physics 2025-11-24 Andrea Placidi , Luca Sebastiani , Gianluca Grignani

We derive analytic all-order-in-spin expressions for the leading-order time-domain waveforms generated in the scattering of two Kerr black holes with arbitrary masses and spin vectors in the presence of all independent cubic deformations of…

High Energy Physics - Theory · Physics 2024-08-02 Andreas Brandhuber , Graham R. Brown , Gang Chen , Gabriele Travaglini , Pablo Vives Matasan

A simple derivation of the effective spin-wave Hamiltonian for a double-exchange system with infinitely large Hund's-rule coupling is demonstrated. The formalism can be applied to models with arbitrary range of hopping as well as those with…

Strongly Correlated Electrons · Physics 2007-05-23 Nobuo Furukawa , Yukitoshi Motome
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