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We solve the problem of electron scattering at a soft temporal potential step. Given the relativistic nature of the problem, we use the Dirac equation, with its spinor wavefunction. We find solutions in terms of hypergeometric functions,…

Quantum Physics · Physics 2024-03-21 Furkan Ok , Christophe Caloz

We evaluate the propagator of scalar and spinor in three dimensional quantum electrodynamics with the use of Ward-Identity for soft-photon emission vertex.We work well in position space to treat infrared divergences in our model.…

High Energy Physics - Theory · Physics 2009-11-10 Y. Hoshino

Using soft-graviton theorems a well-known zero-frequency limit (ZFL) for the gravitational radiation flux $dE^{GW}/d \omega$ is re-derived and extended to order ${{\cal O}}(\omega)$ and ${{\cal O}}(\omega^2)$ for arbitrary massless…

High Energy Physics - Theory · Physics 2019-06-05 Andrea Addazi , Massimo Bianchi , Gabriele Veneziano

We develop the general theory of spinning particles with electric and magnetic dipole moments moving in arbitrary electromagnetic, inertial and gravitational fields. Both the quantum-mechanical and classical dynamics is investigated. We…

High Energy Physics - Theory · Physics 2017-11-15 Yuri N. Obukhov , Alexander J. Silenko , Oleg V. Teryaev

We explore the electromagnetic fields around a quasi-Kerr compact object assuming it is immersed in an external asymptotically uniform magnetic field. Using the Wald method, components of the electromagnetic field in orthonormal basis have…

General Relativity and Quantum Cosmology · Physics 2019-05-09 Bakhtiyor Narzilloev , Ahmadjon Abdujabbarov , Cosimo Bambi , Bobomurat Ahmedov

We consider perturbations of the $4$ dimensional Reissner-Nordstr\"om spacetime induced by the probe scattering of a point particle with charge and mass moving on an unbound trajectory with an asymptotically large velocity. The resulting…

High Energy Physics - Theory · Physics 2020-11-18 Karan Fernandes , Arpita Mitra

We consider a motion of a weakly relativistic charged particle with an arbitrary spin in central potential $e/r$ in terms of classical mechanics. We show that the spin-orbital interaction causes the precession of the plane of orbit around…

Quantum Physics · Physics 2023-05-11 Dmitry S. Kaparulin , Nikita A. Sinelnikov

A classical model of the electron based on Maxwell's equations is presented in which the wave character is described by classical physics. Most properties follow from the description of a classical massless charge circulating with v\,=\,c.…

Classical Physics · Physics 2021-10-07 G. Poelz

The study of amplitudes and cross sections in the soft and collinear limits allows for an understanding of their all orders behavior, and the identification of universal structures. At leading power soft emissions are eikonal, and described…

High Energy Physics - Phenomenology · Physics 2020-04-08 Ian Moult , Iain W. Stewart , Gherardo Vita

A derivation is presented of the quantummechanical wave equations based upon the Equity Principle of Einstein's General Relativity Theory. This is believed to be more generic than the common derivations based upon Einstein's energy…

General Physics · Physics 2007-07-19 Engel Roza

Assuming Coulomb-like as well as confining scalar potential, we have solved Shr\"odinger equation perturbatively in $1/m_Q$ with a heavy quark mass $m_Q$. The lowest order equation is examined carefully. Mass levels are fitted with…

High Energy Physics - Phenomenology · Physics 2007-05-23 Takayuki Matsuki , Toshiyuki Morii

We study the interaction of a scalar and a spinning particle with a coherent linearized gravitational wave field treated as a classical spin two external field. The spin degrees of freedom of the spinning particle are described by…

High Energy Physics - Theory · Physics 2008-11-26 A. Barducci , R. Giachetti

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

In the beginning, the synchrotron radiation (SR) was studied by classical methods using the Li\'{e}nard-Wiechert potentials of electric currents. Subsequently, quantum corrections to the obtained classical formulas were studied, considering…

High Energy Physics - Theory · Physics 2020-03-25 V. G. Bagrov , D. M. Gitman , A. A. Shishmarev , A. J. D. Farias

We present a systematic diagrammatic investigation of the classical limit of observables computed from scattering amplitudes in quantum field theory through the Kosower-Maybee-O'Connell (KMOC) formalism, motivated by the study of…

High Energy Physics - Theory · Physics 2025-07-01 Zeno Capatti , Mao Zeng

It is shown that contrary to claims of Ref. [1] the formulated in the proper physical variables Low theorem [2] for soft photon emission does not require any modification. We also reject the criticism in Ref. [1] of the papers [3,4]. At the…

High Energy Physics - Phenomenology · Physics 2024-03-20 V. S. Fadin , V. A. Khoze

This paper derives a next-to-leading power (NLP) soft theorem for multi-photon emission to all orders in the electromagnetic coupling constant, generalising the leading-power theorem of Yennie, Frautschi, and Suura. Working in the QED…

High Energy Physics - Phenomenology · Physics 2024-03-05 Tim Engel

In a previous paper [1] we proposed a purely mathematical way to quantum mechanics based on Cartan's simple spinors in their most elementary form of 2 component spinors. Here we proceed along that path proposing, this time, a symmetric…

Mathematical Physics · Physics 2009-12-02 Paolo Budinich

Starting from the leading soft term of the 5-point amplitude, involving a graviton and two Kerr black holes, that factorises into the product of the elastic amplitude without the graviton and the leading soft factor, we compute the infrared…

High Energy Physics - Theory · Physics 2022-08-10 Francesco Alessio , Paolo Di Vecchia

It has been shown that in larger than four space-time dimensions, soft factors that relate the amplitudes with a soft photon or graviton to amplitudes without the soft particle also determine the low frequency radiative part of the…

High Energy Physics - Theory · Physics 2018-11-14 Alok Laddha , Ashoke Sen