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Certain soft photon amplitudes which have been recently suggested as alternatives to the usual Low form of the soft photon approximation are studied and it is demonstrated that problems exist in their relation to the corresponding…

Nuclear Theory · Physics 2008-11-26 Mark Welsh , Harold W. Fearing

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

The eikonal approximation is an ideal tool to extract classical observables in gauge theory and gravity directly from scattering amplitudes. Here we consider effective theories of gravity where in addition to the Einstein-Hilbert term we…

High Energy Physics - Theory · Physics 2020-08-26 Manuel Accettulli Huber , Andreas Brandhuber , Stefano De Angelis , Gabriele Travaglini

New structural properties of post-Minkowskian (PM) gravity are derived, notably within its effective one body (EOB) formulation. Our results concern both the mass dependence, and the high-energy behavior, of the classical scattering angle.…

General Relativity and Quantum Cosmology · Physics 2020-07-22 Thibault Damour

We use the amplitude soft bootstrap method to explore the space of effective field theories (EFT) of massless vectors and scalars. It is known that demanding vanishing soft limits fixes uniquely a special class of EFTs: non-linear sigma…

High Energy Physics - Theory · Physics 2021-08-04 Karol Kampf , Jiri Novotny , Filip Preucil , Jaroslav Trnka

We consider quantum gravity with zero cosmological constant in three dimensions. First, we show that pure quantum gravity can be written as a magnetic Carrollian theory living on null infinity, described by Schwarzian-like degrees of…

High Energy Physics - Theory · Physics 2024-11-22 Jordan Cotler , Kristan Jensen , Stefan Prohazka , Max Riegler , Jakob Salzer

The purpose of this review is to bridge the gap between a standard course in quantum field theory and recent fascinating developments in the studies of on-shell scattering amplitudes. We build up the subject from basic quantum field theory,…

High Energy Physics - Theory · Physics 2014-04-14 Henriette Elvang , Yu-tin Huang

We propose a formula relating scattering S-matrix amplitudes to correlators of a conformal field theory. The proposal implements a flat limit of the field theory, providing an indirect microscopic description of gravitational theories with…

High Energy Physics - Theory · Physics 2019-08-21 Eliot Hijano

We study soft photon emission during scattering of Faddeev-Kulish charged states in QED, at leading order in perturbation theory. The charged asymptotic particles are accompanied by clouds of an infinite number of soft photons of energy…

High Energy Physics - Theory · Physics 2026-02-19 Stavros Christodoulou , Nicolaos Toumbas

We consider the resonant scattering of coherent electromagnetic waves by a Raman-like process in the gamma ray range off electrostatic modes in a quantum plasma using a collective Klein-Gordon-Maxwell model. The growth rates for the most…

Plasma Physics · Physics 2013-05-31 Bengt Eliasson , Chuan S. Liu

We study the relation between emergent 1-form symmetries and soft photon theorems in QED. We show that in the relevant massive and massless kinematic regimes, described respectively by HQET and SCET, the soft sector admits electric and…

High Energy Physics - Theory · Physics 2026-04-08 Luigi Tizzano

Quantum theoretical treatment of coherent forward scattering of light in a polarized atomic ensemble with an arbitrary angular momentum is developed. We consider coherent forward scattering of a weak radiation field interacting with a…

Quantum Physics · Physics 2007-05-23 D. V. Kupriyanov , O. S. Mishina , I. M. Sokolov , B. Julsgaard , E. S. Polzik

The problem of an electromagnetic wave scattered from a random medium layer with rough boundaries is formulated using integral equations which involve two kinds of Green functions. The first one describes the wave scattered by the random…

Atmospheric and Oceanic Physics · Physics 2007-05-23 A. Soubret , G. Berginc

We study observables in the scattering of classical, spinning objects using the KMOC formalism. In particular, we derive formulas to higher order in spin and one loop $\mathcal{O}(G^2)$ for the spin kick and momentum impulse. Our derivation…

High Energy Physics - Theory · Physics 2024-12-24 Juan Pablo Gatica

Previous work developed a K-matrix formalism applicable to positive energies for the scattering between two $s$-wave interacting particles with two internal states, isotropic spin-orbit coupling and vanishing center-of-mass momentum [H.…

Quantum Gases · Physics 2016-08-23 Q. Guan , D. Blume

The robustness of the factorization theorem for total cross sections, $\sigma_{nn}/\sigma_{\gamma p}=\sigma_{\gamma p}/\sigma_{\gamma\gamma}$, originally proved by Block and Kaidalov\cite{bk} for $nn$ (the even portion of $pp$ and $\pbar p$…

High Energy Physics - Phenomenology · Physics 2009-11-10 M. M. Block

For a class of negative slowly decaying potentials, including $V(x):=-\gamma|x|^{-\mu}$ with $0<\mu<2$, we study the quantum mechanical scattering theory in the low-energy regime. Using modifiers of the Isozaki-Kitada type we show that…

Mathematical Physics · Physics 2007-12-04 Jan Derezinski , Erik Skibsted

Accelerated charges emit both electromagnetic and gravitational radiation. Classically, it was found that the electromagnetic energy spectrum radiated by an electron in a monochromatic plane wave is proportional to the corresponding…

High Energy Physics - Phenomenology · Physics 2022-10-21 G. Audagnotto , C. H. Keitel , A. Di Piazza

We study soft emission in QED during scattering of Faddeev-Kulish dressed states. The incoming and outgoing charged particles are accompanied by coherent clouds of soft photons with energies below a characteristic infrared scale $E_d$. We…

High Energy Physics - Theory · Physics 2026-03-23 Stavros Christodoulou , Nicolaos Toumbas

We show that the distributional nature of soft theorems requires the soft limit expansion to take priority over the regulator expansion of Feynman loop integrals. We start the study of soft graviton theorems at loop level from this…

High Energy Physics - Theory · Physics 2014-07-02 Freddy Cachazo , Ellis Ye Yuan