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The radiative response of the classical electron is commonly described by the Lorentz-Abraham-Dirac (LAD) equation. Dirac's derivation of this equation is based on energy and momentum conservation laws and on regularization of the field…

Classical Physics · Physics 2015-07-03 Anatoli Babin

This paper uses elementary techniques drawn from renormalization theory to derive the Lorentz-Dirac equation for the relativistic classical electron from the Maxwell-Lorentz equations for a classical charged particle coupled to the…

Classical Physics · Physics 2015-06-05 Charles W. Nakhleh

We develop a new fluid model of a warm plasma that includes the radiative self-force on each plasma electron. Our approach is a natural generalization of established methods for generating fluid models without radiation reaction. The…

Plasma Physics · Physics 2013-10-29 D. A. Burton , A. Carr , J. Gratus , A. Noble

We consider the self-force on a charged particle moving in a curved spacetime with a background electromagnetic field, extending previous studies to situations in which gravitational and electromagnetic perturbations are comparable. The…

General Relativity and Quantum Cosmology · Physics 2014-10-22 Thomas M. Linz , John L. Friedman , Alan G. Wiseman

We describe a new method of calculating the renormalised energy of a field obeying the Maxwell and Dirac equations. The method does not involve evaluating integrals but relies instead on summing a geometric series. We show that the new…

General Physics · Physics 2007-05-23 S. B. M. Bell , B. M. Diaz

The paper proposes an algorithm for regularization of the self-energy expressions for a Dirac particle that meets the relativistic and gauge invariance requirements.

High Energy Physics - Theory · Physics 2017-08-23 A. V. Gichuk , V. P. Neznamov , Yu. V. Petrov

While he derived the equation for the radiation force, Dirac (1938) mentioned a possibility to use different choices for the 4-momentum of an emitting electron. Particularly, the 4-momentum could be non-colinear to the electron 4-velocity.…

Classical Physics · Physics 2015-05-13 Igor V. Sokolov

In this paper we investigate the link between classical electrodynamics and the mass-energy equivalence principle, in view of the conclusions reached in ref.[1]. A formula for the radius of a charged particle is derived. The formula…

General Physics · Physics 2009-07-16 Ezzat G. Bakhoum

Working within the framework of the classical theory of electrodynamics, we derive an exact mathematical solution to the problem of self-force (or radiation reaction) of an accelerated point-charge traveling in free space. In addition to…

Classical Physics · Physics 2019-02-11 Masud Mansuripur

We formulate a new analytical method for regularizing the self-force acting on a particle of small mass $\mu$ orbiting a black hole of mass $M$, where $\mu\ll M$. At first order in $\mu$, the geometry is perturbed and the motion of the…

General Relativity and Quantum Cosmology · Physics 2009-10-09 Wataru Hikida , Sanjay Jhingan , Hiroyuki Nakano , Norichika Sago , Misao Sasaki , Takahiro Tanaka

It is argued that, contrary to conventional wisdom, no trustworthy universal self-force/radiative corrections to the Lorentz force equation, can be derived from the basic tenets of classical electrodynamics. This concords with the apparent…

Quantum Physics · Physics 2024-02-13 Yehonatan Knoll

After a brief review of the modified (by transition forces) causal Lorentz-Abraham (LA) classical equation of motion for an extended charged sphere and its limit to the mass-renormalized modified causal Lorentz-Abraham-Dirac (LAD) equation…

Classical Physics · Physics 2026-04-15 Arthur D. Yaghjian

We theoretically predict a novel type of synthetic Lorentz force for classical (cold) atomic gases, which is based on the Doppler effect and radiation pressure. A fairly uniform and strong force can be constructed for gases in macroscopic…

Atomic Physics · Physics 2014-06-25 T. Dubček , N. Šantić , D. Jukić , D. Aumiler , T. Ban , H. Buljan

It is widely believed that classical electromagnetism is either unphysical or inconsistent, owing to pathological behavior when self-force and radiation reaction are non-negligible. We argue that there is no inconsistency as long as it is…

Classical Physics · Physics 2015-10-13 Andrew M. Steane

The effective equations of motion for a point charged particle taking account of radiation reaction are considered in various space-time dimensions. The divergencies steaming from the pointness of the particle are studied and the effective…

High Energy Physics - Theory · Physics 2009-11-07 P. O. Kazinski , S. L. Lyakhovich , A. A. Sharapov

In the classical vacuum Maxwell-Lorentz theory the self-force of a charged point particle is infinite. This makes classical mass renormalization necessary and, in the special relativistic domain, leads to the Abraham-Lorentz-Dirac equation…

General Relativity and Quantum Cosmology · Physics 2015-10-12 Jonathan Gratus , Volker Perlick , Robin W. Tucker

As a follow-up of a previous work of the authors, this work considers {\em uniform global time-renormalization functions} for the {\em gravitational} $N$-body problem. It improves on the estimates of the radii of convergence obtained…

Numerical Analysis · Mathematics 2021-07-22 Mikel Antoñana , Philippe Chartier , Ander Murua

We derive the Lorentz self force for an arbitrarily moving charged particle via averaging the retarded fields. The derivation is simple and at the same time pedagogically accessible. We obtain the radiation reaction for a charged particle…

Classical Physics · Physics 2015-06-19 Asrarul Haque

We present a new method designed to avoid numerical challenges that have impeded calculation of the Lorenz gauge self-force acting on a compact object inspiraling into a Kerr black hole. This type of calculation is valuable in creating…

General Relativity and Quantum Cosmology · Physics 2022-09-08 Thomas Osburn , Nami Nishimura

In this paper we compute the radiative correction to the mass of the kink in $\phi^4$ theory in 1+1 dimensions, using an alternative renormalization program. In this newly proposed renormalization program the breaking of the translational…

High Energy Physics - Theory · Physics 2015-06-05 S. S. Gousheh , A. Mohammadi , M. Asghari , R. Moazzemi , F. Charmchi
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