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Related papers: Eikonal amplitudes from curved backgrounds

200 papers

We study wave scattering from a gently curved surface. We show that the recursive relations, implied by shift invariance, among the coefficients of the perturbative series for the scattering amplitude allow to perform an infinite…

Classical Physics · Physics 2016-07-06 Giuseppe Bimonte

Using $\mathcal N=8$ supergravity as a theoretical laboratory, we extract the 3PM gravitational eikonal for two colliding massive scalars from the classical limit of the corresponding elastic two-loop amplitude. We employ the eikonal phase…

High Energy Physics - Theory · Physics 2021-08-18 Paolo Di Vecchia , Carlo Heissenberg , Rodolfo Russo , Gabriele Veneziano

In this paper, we consider inverse time-harmonic acoustic and electromagnetic scattering from locally perturbed rough surfaces in three dimensions. The scattering interface is supposed to be the graph of a Lipschitz continuous function with…

Analysis of PDEs · Mathematics 2018-12-24 Yu Zhao , Guanghui Hu , Baoqiang Yan

We study the EFT of a spinning compact object and show that with appropriate gauge fixing, computations become amenable to worldline quantum field theory techniques. We use the resulting action to compute Compton and one-loop scattering…

High Energy Physics - Theory · Physics 2023-11-08 Maor Ben-Shahar

We present a formalism for computing classically measurable quantities directly from on-shell quantum scattering amplitudes. We discuss the ingredients needed for obtaining the classical result, and show how to set up the calculation to…

High Energy Physics - Theory · Physics 2019-03-27 David A. Kosower , Ben Maybee , Donal O'Connell

Motivated by the limited interaction between the mathematical physics community and theoretical physicists - particularly in high-energy theory - we present a computation that is typically the first example in QFT courses but, to our…

High Energy Physics - Theory · Physics 2025-09-26 H. A. C. Grande , J. C. A Barata

We introduce a covariant Multipole Expansion for the scattering of a massive particle emitting photons or gravitons in $D$ dimensions. We find that these amplitudes exhibit very powerful features such as universality, soft exponentiation,…

High Energy Physics - Theory · Physics 2019-06-17 Yilber Fabian Bautista , Alfredo Guevara

One-dimensional quantum scattering from a local potential barrier is considered. Analytical properties of the scattering amplitudes have been investigated by means of the integral equations equivalent to the Schrodinger equations. The…

Quantum Physics · Physics 2009-10-30 M. S. Marinov , Bilha Segev

The aim of this note is to explore the interplay between the eikonal resummation in impact-parameter space and the exponentiation of infrared divergences in momentum space for gravity amplitudes describing collisions of massive objects. The…

High Energy Physics - Theory · Physics 2021-08-25 Carlo Heissenberg

Quantum Electrodynamics (QED) serves as a useful toy model for classical observables in gravitational two-body systems with reduced complexity due to the linearity of QED. We investigate scattering observables in scalar QED at the sixth…

High Energy Physics - Theory · Physics 2022-09-07 Zvi Bern , Juan Pablo Gatica , Enrico Herrmann , Andres Luna , Mao Zeng

We compute the classical tree-level five-point amplitude for the two-to-two scattering of spinning celestial objects with the emission of a graviton. Using this five-point amplitude, we then turn to the computation of the leading-order…

High Energy Physics - Theory · Physics 2024-02-20 Andreas Brandhuber , Graham R. Brown , Gang Chen , Joshua Gowdy , Gabriele Travaglini

We revisit the scattering of quantum test particles on the conical $(2+1)$-dimensional spacetime and find the scatteting amplitude as a function of the boundary conditions imposed at the appex of the cone. We show that the boundary…

General Relativity and Quantum Cosmology · Physics 2017-08-02 V. S. Barroso , J. P. M. Pitelli

We provide a systematic method to compute tree-level scattering amplitudes with spinning external states from amplitudes with scalar external states in arbitrary spacetime dimensions. We write down analytic answers for various scattering…

High Energy Physics - Theory · Physics 2021-11-23 Mahesh KN Balasubramanian , Raj Patil , Arnab Rudra

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.…

High Energy Physics - Theory · Physics 2021-12-08 Poul H. Damgaard , Ludovic Plante , Pierre Vanhove

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…

High Energy Physics - Theory · Physics 2018-10-31 N. E. J. Bjerrum-Bohr , Poul H. Damgaard , Guido Festuccia , Ludovic Planté , Pierre Vanhove

Quantum black holes are difficult to describe. We consider two seemingly divergent approaches, high-energy scattering and the proposal to regard black holes as Bose-Einstein condensates of gravitons, and establish a connection between them.…

High Energy Physics - Theory · Physics 2015-06-22 Florian Kuhnel , Bo Sundborg

We study the classical dynamics of spinning particles using scattering amplitudes and eikonal exponentiation. We show that observables are determined by a simple algorithm. A wealth of complexity arises in perturbation theory as positions,…

High Energy Physics - Theory · Physics 2024-08-20 Andres Luna , Nathan Moynihan , Donal O'Connell , Alasdair Ross

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

We calculate the inelastic $2\to3$ one-loop amplitude for the scattering of two point-like, spinless objects with generic masses involving the additional emission of a single graviton. We focus on the near-forward, or classical, limit. Our…

High Energy Physics - Theory · Physics 2023-12-27 Alessandro Georgoudis , Carlo Heissenberg , Ingrid Vazquez-Holm

Massive Klein-Gordon theory is quantized on the timelike hypercylinder in Minkowski space. Crucially, not only the propagating, but also the evanescent sector of phase space is included, laying in this way foundations for a quantum…

High Energy Physics - Theory · Physics 2023-08-24 Robert Oeckl