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A previous paper [J. Phys. B: At. Mol. Opt. Phys. 50, 215302 (2017)] showed that partial wave analysis becomes applicable to nonrelativistic Coulomb scattering if wavepackets are used. The scattering geometry considered was special: that of…

Quantum Physics · Physics 2020-02-07 Scott E. Hoffmann

We combine tools from effective field theory and generalized unitarity to construct a map between on-shell scattering amplitudes and the classical potential for interacting spinless particles. For general relativity, we obtain analytic…

High Energy Physics - Theory · Physics 2019-01-31 Clifford Cheung , Ira Z. Rothstein , Mikhail P. Solon

In [arXiv:1906.10100], the authors argued that the Newman-Janis algorithm on the space of classical solutions in general relativity and electromagnetism could be used in the space of scattering amplitudes to map an amplitude with external…

High Energy Physics - Theory · Physics 2024-05-17 Samim Akhtar , Arkajyoti Manna , Akavoor Manu

The formalism relating the relativistic three-particle infinite-volume scattering amplitude to the finite-volume spectrum has been developed thus far only for identical or degenerate particles. We provide the generalization to the case of…

High Energy Physics - Lattice · Physics 2021-03-17 Tyler D. Blanton , Stephen R. Sharpe

Classical soft graviton theorem gives an expression for the spectrum of low frequency gravitational radiation, emitted during a classical scattering process, in terms of the trajectories and spin angular momenta of ingoing and outgoing…

General Relativity and Quantum Cosmology · Physics 2020-04-15 Alok Laddha , Ashoke Sen

Scattering amplitudes have their origin in quantum field theory, but have wide-ranging applications extending to classical physics. We review a formalism to connect certain classical observables to scattering amplitudes. An advantage of…

High Energy Physics - Theory · Physics 2022-10-04 David A. Kosower , Ricardo Monteiro , Donal O'Connell

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…

High Energy Physics - Theory · Physics 2023-08-09 Gustav Uhre Jakobsen

In this note we study tree-level scattering amplitudes of gravitons under a natural deformation which in the large $z$ limit can be interpreted either as a $k$-hard-particle limit or as a $(n-k)$-soft-particle limit. When $k=2$ this becomes…

High Energy Physics - Theory · Physics 2024-05-02 Freddy Cachazo , Pablo Leon

This work is a continuation of studies presented in the papers arXiv:0911.5597, arXiv:1003.4523. In the work it is demonstrated that with the use of one and the same parameter deformation may be described for several cases of the General…

General Relativity and Quantum Cosmology · Physics 2010-06-28 A. E. Shalyt-Margolin

In a previous publication, two of us derived a relation between the scattering amplitude of three identical bosons, $\mathcal M_3$, and a real function referred to as the {divergence-free} K matrix and denoted $\mathcal K_{\text{df},3}$.…

High Energy Physics - Lattice · Physics 2019-09-25 Raúl A. Briceño , Maxwell T. Hansen , Stephen R. Sharpe , Adam P. Szczepaniak

We analyze the framework recently proposed by Oppenheim et al. to model relativistic quantum fields coupled to relativistic, classical, stochastic fields (in particular, as a model of quantum matter coupled to ``classical gravity'').…

High Energy Physics - Theory · Physics 2025-07-28 Daniel Carney , Akira Matsumura

We study the soft limit of one-photon radiation at next-to-leading power (NLP) in the framework of heavy-quark effective theory (HQET) to all orders in perturbation theory. We establish the soft theorem that for unpolarised scattering the…

High Energy Physics - Phenomenology · Physics 2023-12-19 Tim Engel

We analyze the big bounce transition of the quantum FRW model in the setting of the nonstandard loop quantum cosmology (LQC). Elementary observables are used to quantize composite observables. The spectrum of the energy density operator is…

General Relativity and Quantum Cosmology · Physics 2011-03-28 Przemyslaw Malkiewicz , Wlodzimierz Piechocki

This paper aims to investigate the scattering of fermions by spherically symmetric MOG black holes, which are a type of black holes encountered in scalar-tensor-vector modified gravitational theories. After determining the scattering modes…

General Relativity and Quantum Cosmology · Physics 2020-02-27 Ciprian A. Sporea

We explore a recently proposed effective field theory describing electromagnetically or gravitationally interacting massive particles in an expansion about their mass ratio, also known as the self-force (SF) expansion. By integrating out…

High Energy Physics - Theory · Physics 2024-10-04 Clifford Cheung , Julio Parra-Martinez , Ira Z. Rothstein , Nabha Shah , Jordan Wilson-Gerow

In this review, we focus on whether a canonical quantization of general relativity can produce testable predictions for cosmology. In particular, we examine how this approach can be used to model the evolution of primordial perturbations.…

General Relativity and Quantum Cosmology · Physics 2023-10-20 Leonardo Chataignier , Claus Kiefer , Paulo Moniz

I propose that the proper framework for gravitational scattering theory is the rep- resentation theory of the super-BMS algebra of Awada, Gibbons and Shaw[1], and its generalizations. Certain representation spaces of these algebras…

High Energy Physics - Theory · Physics 2014-03-17 T. Banks

We present a theoretical study of multi-mode scattering of light by optically random media, using the Mueller-Stokes formalism which permits to encode all the polarization properties of the scattering medium in a real $4 \times 4$ matrix.…

Quantum Physics · Physics 2009-11-10 A. Aiello , J. P. Woerdman

Classical and quantum properties of scattering of charged particles in ultrathin crystals are considered. A comparison is made of these two ways of study of scattering process. In the classical consideration we remark the appearance of…

Accelerator Physics · Physics 2015-12-16 S. N. Shul'ga , N. F. Shul'ga , S. Barsuk , I. Chaikovska , R. Chehab

The all-order structure of scattering amplitudes is greatly simplified by the use of Wilson line operators, describing eikonal emissions from straight lines extending to infinity. A generalization at subleading powers in the eikonal…

High Energy Physics - Theory · Physics 2022-04-13 Domenico Bonocore , Anna Kulesza , Johannes Pirsch
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