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The self-localized quasi-particle excitation of the electron-positron field (EPF) is found for the first time in the framework of a standard form of the quantum electrodynamics. This state is interpreted as the ``physical'' electron…

Mathematical Physics · Physics 2008-12-19 Ilya D. Feranchuk , Sergey I. Feranchuk

We calculate the gravitational form factors of the electron at one loop in quantum electrodynamics, decomposing these into contributions from the electron and photon parts of the energy-momentum tensor. Ultraviolet divergences are removed…

High Energy Physics - Phenomenology · Physics 2023-02-20 Adam Freese , Andreas Metz , Barbara Pasquini , Simone Rodini

We generate numerically on a lattice an ensemble of stationary metrics, with spherical symmetry, which have Einstein action $S_E \ll \hbar$. This is obtained through a Metropolis algorithm with weight $\exp(-\beta^2 S^2_E)$ and $\beta \gg…

General Relativity and Quantum Cosmology · Physics 2020-04-08 G. Modanese

A high-precision numerical calculation is reported for the self-energy correction to the hyperfine splitting and to the bound-electron g factor in hydrogenlike ions with low nuclear charge numbers. The binding nuclear Coulomb field is…

Atomic Physics · Physics 2009-11-13 V. A. Yerokhin , U. D. Jentschura

We construct and analyze a class of static spherically symmetric spacetimes in general relativity sourced exclusively by classical electrostatic configurations. Using a spherically symmetric Painlev\'e-Gullstrand-like metric with unit lapse…

General Relativity and Quantum Cosmology · Physics 2025-12-19 G. Abellán , N. Bolívar , I. Vasilev

A cornerstone of physics, Maxwell's theory of electromagnetism, apparently contains a fatal flaw. The standard expressions for the electromagnetic field energy and self-mass of an electron of finite extension do not obey Einstein's famous…

Classical Physics · Physics 2023-02-01 Murat Khokonov , Jens Ulrik Andersen

The purpose of these notes is to provide a pedagogical introduction to the concept of renormalization in atomic physics. We study quantum dynamics of a model of a nonrelativistic single electron atom coupled to the quantum radiation field…

Quantum Physics · Physics 2022-04-07 Milan Šindelka

The problem of a spin-free electron with mass $m$, charge $e$ confined onto a ring of radius $R_0$ and with an attractive Dirac delta potential with scaling factor (depth) $\kappa$ in non-relativistic theory has closed form analytical…

Quantum Physics · Physics 2024-08-20 Raphael J. F. Berger

Gravitational waves from astrophysical sources can interact with background electromagnetic fields, giving rise to distinctive and potentially detectable electromagnetic signatures. In this paper, we study such interactions for far-field…

General Relativity and Quantum Cosmology · Physics 2014-12-09 Alvin J. K. Chua , Priscilla Cañizares , Jonathan R. Gair

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

The complexified gauging of the de Sitter group gives a unified theory for the electroweak and gravitational interactions. The standard spectrum for the electroweak gauge bosons is recovered with the correct mass assignments, following a…

High Energy Physics - Theory · Physics 2009-10-30 Nikolaos A Batakis

Conservation of energy and momentum in the classical theory of radiating electrons has been a challenging problem since its inception. We propose a formulation of classical electrodynamics in Hamiltonian form that satisfies the Maxwell…

Chaotic Dynamics · Physics 2013-08-15 Frédéric André , Pierre Bernardi , Nikita M. Ryskin , Fabrice Doveil , Yves Elskens

The process e(+) e(-) -> n gamma (n>=2) are studied to estimate the total and differential cross sections of these reactions using the L3 data collected during 1991-1998 at centre of mass energies in the range 91-193 GeV. The lower limits…

High Energy Physics - Phenomenology · Physics 2007-05-23 I. Dymnikova , A. Hasan , J. Ulbricht

Electron motion in an oblique shock wave is studied by means of a one-dimensional, relativistic, electromagnetic, particle simulation code with full ion and electron dynamics. It is found that an oblique shock can produce electrons with…

Plasma Physics · Physics 2009-10-31 Naoki Bessho , Yukiharu Ohsawa

We address the problem of finding a system in which there would be measurable quantum gravitational effects. Following standard quantum-field methods, we have calculated the first-order radiative correction of graviton exchange on the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. Haghighat , F. Loran

We present a self-contained framework called Direct Integration of the Relaxed Einstein Equations (DIRE) for calculating equations of motion and gravitational radiation emission for isolated gravitating systems based on the post-Newtonian…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Michael E. Pati , Clifford M. Will

The dimensionful nature of the coupling in the Einstein-Hilbert action in four dimensions implies that the theory is non-renormalizable; explicit calculation shows that beginning at two loop order, divergences arise that cannot be removed…

High Energy Physics - Theory · Physics 2019-08-27 F. T. Brandt , J. Frenkel , D. G. C. McKeon

We study the limiting behavior of a singularly perturbed Schr\"odinger-Poisson system describing a 3-dimensional electron gas strongly confined in the vicinity of a plane $(x,y)$ and subject to a strong uniform magnetic field in the plane…

Analysis of PDEs · Mathematics 2010-07-27 Fanny Delebecque-Fendt , Florian Mehats

We present numerical results for the gravitational self-force and redshift invariant calculated in the Regge-Wheeler and Easy gauges for circular orbits in a Schwarzschild background, utilizing the regularization framework introduced by…

General Relativity and Quantum Cosmology · Physics 2019-07-03 Jonathan E. Thompson , Barry Wardell , Bernard F. Whiting

Solution of the Dirac equation predicts that when an electron with non-zero orbital angular momentum propagates in a cylindrically symmetric potential, its spin and orbital degrees of freedom interact, causing the electron's phase velocity…

Quantum Physics · Physics 2009-09-23 C. C. Leary , D. Reeb , M. G. Raymer
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