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The high-precision description of black hole scattering in classical general relativity using the post-Minkowskian (PM) expansion requires the evaluation of single-scale Feynman integrals at increasing loop orders. Up to 4PM, the scattering…

High Energy Physics - Theory · Physics 2024-06-18 Albrecht Klemm , Christoph Nega , Benjamin Sauer , Jan Plefka

In this paper we show that the supergravity equations describing both cosmic billiards and a large class of black-holes are, generically, both Liouville integrable as a consequence of the same universal mechanism. This latter is provided by…

High Energy Physics - Theory · Physics 2015-05-13 Pietro Fre , Alexander S. Sorin

The recently devised chiral algebra bootstrap computes the form factors of a special class of ``twistorial'' 4d QFTs as correlation functions of the theory's 2d celestial chiral algebra. Examples of twistorial theories include self-dual…

High Energy Physics - Theory · Physics 2025-02-17 Niklas Garner , Natalie M. Paquette

We study worldsheet theory of confining strings in two-dimensional massive adjoint QCD. Similarly to confining strings in higher dimensions this theory exhibits a non-trivial $S$-matrix surviving even in the strict planar limit. In the…

High Energy Physics - Theory · Physics 2018-08-01 Sergei Dubovsky

Integrability structures are known to play a key role in one-dimensional scattering. In the Schwarzschild gravitational context, the analysis emphasizing the role of the so-called Darboux covariance and its intimate connection with KdV…

General Relativity and Quantum Cosmology · Physics 2025-12-09 Corentin Vitel

We comparatively use some classical spectral collocation methods as well as highly performing Chebfun algorithms in order to compute the eigenpairs of second order singular Sturm-Liouville problems with separated self-adjoint boundary…

Numerical Analysis · Mathematics 2020-12-03 Calin-Ioan Gheorghiu

One-dimensional scattering by a target with two internal degrees of freedom is investigated. The damping of resonance peaks and the associated appearance of the fluctuating background in the quantum inelastic scattering amplitudes are…

Nuclear Theory · Physics 2007-09-25 Taksu Cheon

It has been suggested that amplitudes for quantum higher-spin massive particles exchanging gravitons lead, via a classical limit, to results for scattering of spinning black holes in general relativity, when the massive particles are in a…

General Relativity and Quantum Cosmology · Physics 2020-04-01 Nils Siemonsen , Justin Vines

In these notes we prepare the ground for a systematic investigation into the issues of black hole fluctuations and backreaction by discussing the formulation of the problem, commenting on possible advantages and shortcomings of existing…

General Relativity and Quantum Cosmology · Physics 2007-05-23 B. L. Hu , Alpan Raval , Sukanya Sinha

The increasing interest in compact astrophysical objects (neutron stars, binaries, galactic black holes) has stimulated the search for rigorous methods, which allow a systematic general relativistic description of such objects. This paper…

General Relativity and Quantum Cosmology · Physics 2008-11-26 G. Neugebauer , R. Meinel

We describe a unitary scattering process, as observed from spatial infinity, of massless scalar particles on an asymptotically flat Schwarzschild black hole background. In order to do so, we split the problem in two different regimes…

High Energy Physics - Theory · Physics 2021-07-21 Panos Betzios , Nava Gaddam , Olga Papadoulaki

A scattering zipper is a system obtained by concatenation of scattering events with equal even number of incoming and out going channels. The associated scattering zipper operator is the unitary equivalent of Jacobi matrices with matrix…

Mathematical Physics · Physics 2016-10-28 Laurent Marin , Hermann Schulz-Baldes

Highly accurate models of the gravitational-wave signal from coalescing compact binaries are built by completing analytical computations of the binary dynamics with non-perturbative information from numerical relativity (NR) simulations. In…

General Relativity and Quantum Cosmology · Physics 2023-11-21 Piero Rettegno , Geraint Pratten , Lucy Thomas , Patricia Schmidt , Thibault Damour

The one-dimensional scattering of a two body interacting system by an infinite wall is studied in a quantum-mechanical framework. This problem contains some of the dynamical features present in the collision of atomic, molecular and nuclear…

Nuclear Theory · Physics 2010-10-26 A. M. Moro , J. A. Caballero , J. Gomez-Camacho

We examine the polynomial form of the scattering equations by means of computational algebraic geometry. The scattering equations are the backbone of the Cachazo-He-Yuan (CHY) representation of the S-matrix. We explain how the Bezoutian…

High Energy Physics - Theory · Physics 2016-12-30 Mads Sogaard , Yang Zhang

A model in which black hole scalarization occurs for supermassive black holes, while their less massive counterparts remain unscalarized, has been recently proposed. We explore whether this model can emerge from an effective field theory…

General Relativity and Quantum Cosmology · Physics 2025-06-27 Farid Thaalba , Pedro G. S. Fernandes , Thomas P. Sotiriou

We discuss the problem of canonical quantization of a free real massive scalar field in the Schwarzschild spacetime. It is shown that a consistent procedure of canonical quantization of the field can be carried out without taking into…

General Relativity and Quantum Cosmology · Physics 2023-01-05 Vadim Egorov , Mikhail Smolyakov , Igor Volobuev

We construct some classes of electrically charged, static and spherically symmetric black hole solutions of the four-dimensional Einstein-Born-Infeld-dilaton gravity in the absence and presence of Liouville-type potential for the dilaton…

High Energy Physics - Theory · Physics 2008-11-26 A. Sheykhi , N. Riazi , M. H. Mahzoon

The well-known BTZ black hole solution of (2+1) Einstein's gravity, in the presence of a cosmological constant, is treated both at the classical and quantum level. Classically, the imposition of the two manifest local Killing fields of the…

General Relativity and Quantum Cosmology · Physics 2015-06-19 T. Christodoulakis , N. Dimakis , Petros A. Terzis , G. Doulis

Correlation functions in Liouville theory are meromorphic functions of the Liouville momenta, as is shown explicitly by the DOZZ formula for the three-point function on the sphere. In a certain physical region, where a real classical…

High Energy Physics - Theory · Physics 2017-02-21 Daniel Harlow , Jonathan Maltz , Edward Witten
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