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We review and compare two different approaches to radiation reaction in classical electrodynamics of point charges: a local calculation of the self-force using the charge equation of motion and a global calculation consisting in integration…

High Energy Physics - Theory · Physics 2007-05-23 Dmitri V. Gal'tsov , Pavel Spirin

The theory of point-particles in classical electrodynamics has a well-known problem of infinite self-energy, and the same is true of quantum electrodynamics. Instead of concluding that there is no such thing as a true point-particle, it is…

Classical Physics · Physics 2026-03-19 Andrew T. Hyman

We investigate a theory of time-symmetric action-at-a-distance electrodynamic or gravitational interactions where the four-forces depend only on the electric charges, the rest masses, the position four-vectors, and the four-velocities of…

Classical Physics · Physics 2025-10-07 Calin Galeriu

Models of relativistic particle with Lagrangian ${\cal L}(k_1)$, depending on the curvature of the worldline $k_1$, are considered. By making use of the Frenet basis, the equations of motion are reformulated in terms of the principal…

High Energy Physics - Theory · Physics 2009-10-28 V. V. Nesterenko , A. Feoli , G. Scarpetta

The Abraham-Lorentz force is a finite remnant of the UV singular structure of the self interaction of a point charge with its own field. The satisfactory description of such interaction needs a relativistic regulator. This turns out to be a…

High Energy Physics - Theory · Physics 2019-06-06 Janos Polonyi

A complete exposition of the rest-frame instant form of dynamics for arbitrary isolated systems (particles, fields, strings, fluids)admitting a Lagrangian description is given. The starting point is the parametrized Minkowski theory…

Mathematical Physics · Physics 2015-05-13 David Alba , Horace Crater , Luca Lusanna

A problem of self-energy and self-force for a charged point-like particle in a higher dimensional homogeneous gravitational field is considered. We study two cases, when a particle has usual electric charge and a case when it has a scalar…

High Energy Physics - Theory · Physics 2015-06-22 Valeri P. Frolov , Andrei Zelnikov

The action of parity inversion, time inversion and charge conjugation operations on several differential equations for a classical point charged particle are described. Moreover, we consider the notion of {\it symmetrized acceleration}…

General Physics · Physics 2014-11-06 Ricardo Gallego Torromé

We calculate the quantum corrections to the classical action of a particle with coordinate-dependent mass. The result is made self-consistent by a variational approach, thus making it applicable to strong-couplings and singular potentials.…

Quantum Physics · Physics 2007-05-23 M. E. S. Borelli , H. Kleinert

Abraham Lorentz (AL) formula of Radiation Reaction and its relativistic generalization, Abraham Lorentz Dirac (ALD) formula, are valid only for periodic (accelerated) motion of a charged particle, where the particle returns back to its…

Classical Physics · Physics 2018-06-15 Nikhil D. Hadap

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

We define and compute the renormalized four-momentum of the composed physical system: classical Maxwell field interacting with charged point particles. As a `reference' configuration for the field surrounding the particle, we take the Born…

Classical Physics · Physics 2009-11-10 J. Kijowski , P. Podles

It has been shown by Gupta and Padmanabhan that the radiation reaction force of the Abraham-Lorentz-Dirac equation can be obtained by a coordinate transformation from the inertial frame of an accelerating charged particle to that of the…

Classical Physics · Physics 2014-11-18 O. Oron , L. P. Horwitz

It is shown, that the radiation of the charge, moving with uniform acceleration or uniformly moving round a circle and also freely moving in a gravitational field, contradicts the principle of equivalence. It is also shown, that the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Stanislav Tereshchenko

The goal of this paper is twofold: to explore the response of classical charges to electromagnetic force at the level of unity in natural units and to establish a criterion that determines physical parameters for which the related…

High Energy Physics - Phenomenology · Physics 2010-12-23 Y. Hadad , L. Labun , J. Rafelski , N. Elkina , C. Klier , H. Ruhl

This paper begins with a critical analysis of the concept of 'material point particle'. We argue that this concept is incompatible with the force laws of action-at-a-distance electrodynamics, and we suggest that the trajectory of a particle…

General Physics · Physics 2021-03-09 Calin Galeriu

It is proposed a Lagrangian for the quasi-rigid extended charged particle, which consists of a bare point particle term plus the standard electromagnetic minimal coupling. The quasi-rigid motion is imposed as a constraint. The extension of…

High Energy Physics - Theory · Physics 2008-11-26 Rodrigo Medina

We investigate radiation-reaction effects for a charged scalar particle accelerated by an external potential realized as a space-dependent mass term in quantum electrodynamics. In particular, we calculate the position shift of the…

Quantum Physics · Physics 2014-11-18 Atsushi Higuchi

As it is known a model of a charged particle with finite size is a good tool to consider the effects of self- action and backreaction, caused by electromagnetic radiation. In this work the "size" of a charged particle is induced by its…

Classical Physics · Physics 2007-05-23 Alexander A. Vlasov

The effects of radiation reaction force on laser driven auto-resonant particle acceleration scheme are studied using Landau-Lifshitz equation of motion. These studies are carried out for both linear as well as circularly polarized laser…

Plasma Physics · Physics 2016-01-20 Vikram Sagar , Sudip Sengupta , P. K. Kaw
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