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We compare the behavior of a charged particle in a gravitational field and empty space. We resolve the apparent conflict between the Lorentz-Dirac equation and Larmor's formula of radiation by noting that the former describes an electron…

General Relativity and Quantum Cosmology · Physics 2014-04-11 Viktor T. Toth

The emission of radiation by a uniformly accelerated charge is analyzed. According to the standard approach, a radiation is observed whenever there is a relative acceleraion between the charge and the observer. Analyzing difficulties that…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Amso Harpaz , Noam Soker

The problem of determining the radiation reaction force experienced by a scalar charge moving in flat spacetime is investigated. A consistent renormalization procedure is used, which exploits the Poincar\'e invariance of the theory.…

Classical Physics · Physics 2009-07-20 Yurij Yaremko

The quantum field theory of extended objects is employed to address the hitherto nonrenormalizable Pauli interaction. This is achieved by quantizing the Dirac field using the infinite dimensional generalization of the extended object…

High Energy Physics - Theory · Physics 2009-09-25 Ramchander R. Sastry

The electromagnetic self-force equation of motion is known to be afflicted by the so-called runaway problem. A similar problem arises in the semiclassical Einstein's field equation and plagues the self-consistent semiclassical evolution of…

General Relativity and Quantum Cosmology · Physics 2019-04-03 Assaf Lanir , Amos Ori , Orr Sela

Building upon previous results in scalar field theory, a formalism is developed that uses generalized Killing fields to understand the behavior of extended charges interacting with their own electromagnetic fields. New notions of effective…

General Relativity and Quantum Cosmology · Physics 2010-03-12 Abraham I. Harte

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

Classical Physics · Physics 2018-09-18 Masud Mansuripur

Various theoretical obstacles are associated with a homogeneous and isotropic distribution of ``charge'' which is subject to a repulsive, long-range force. We show how these can be overcome, for all practical purposes, by the simple device…

General Relativity and Quantum Cosmology · Physics 2009-11-07 M. Brisudova , R. P. Woodard , W. H. Kinney

We develop a systematic approach to calculating the electrostatic force between point charges in an arbitrary geometry with arbitrary boundary conditions. When the boundary is present, the simple expression for the force acting on a charge…

Classical Physics · Physics 2007-05-23 Alexander Silbergleit , Ilya Nemenman , Ilya Mandel

There are known problems of Lorentz-Dirac equation for moving with acceleration charged particle in classical electrodynamics. The model of extended in one dimension particle is proposed and shown that electromagnetic self-interaction can…

High Energy Physics - Theory · Physics 2007-05-23 Alexander A. Vlasov

For the rigid, nonrotating motion of an extended charge in an arbitrary electromagnetic field, an equation of motion is derived by Lorentz-invariantly calculating the 4-Lorentz force = external 4-force + 4-self-force, acting upon the…

Mathematical Physics · Physics 2007-05-23 Helmut Stoeckel

We establish the time averaged total force on a subwavelength sized particle in a time harmonic varying field. Our analysis is not restrictive about the spatial dependence of the incident field. We discuss the addition of the radiative…

Optics · Physics 2016-09-08 P. C. Chaumet , M. Nieto-Vesperinas

We develop an approach to calculate the self-force on a charged particle held in place in a curved spacetime, in which the particle is attached to a massless string and the force is measured by the string's tension. The calculation is based…

General Relativity and Quantum Cosmology · Physics 2020-08-19 Michael LaHaye , Eric Poisson

We discuss a practical method to compute the self-force on a particle moving through a curved spacetime. This method involves two expansions to calculate the self-force, one arising from the particle's immediate past and the other from the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Warren G. Anderson , Alan G. Wiseman

We calculate the self-force of a constantly accelerating electric dipole, showing, in particular, that classical electromagnetism does not predict that an electric dipole could self-accelerate, nor could it levitate in a gravitational…

General Relativity and Quantum Cosmology · Physics 2015-10-13 Andrew M. Steane

We consider the self-potential and the self-force for an electrically charged particle at rest in the massive wormhole space-time. We develop general approach for the renormalization of electromagnetic field of such particle in the static…

General Relativity and Quantum Cosmology · Physics 2014-11-21 Nail R. Khusnutdinov , Arkadii A. Popov , Lilia N. Lipatova

We investigate dynamics of a self-propelled deformable particle under external field in two dimensions based on the model equations for the center of mass and a tensor variable characterizing deformations. We consider two kinds of external…

Soft Condensed Matter · Physics 2013-07-09 Mitsusuke Tarama , Takao Ohta

In classical electrodynamics, an accelerating charged body emits radiation and experiences a corresponding radiation-reaction force, or self force. We extend to higher order in the total charge a previous rigorous derivation of the…

General Relativity and Quantum Cosmology · Physics 2018-05-09 Jordan Moxon , Éanna Flanagan

The self-force problem---which asks how self-interaction affects a body's motion---has been poorly studied for spacetime dimensions $d \neq 4$. We remedy this for all $d \geq 3$ by nonperturbatively constructing momenta such that forces and…

General Relativity and Quantum Cosmology · Physics 2018-08-01 Abraham I. Harte , Peter Taylor , Éanna É. Flanagan

The electric field of a uniformly accelerated charge shows a plane of discontinuity, where the field extending only on one side of the plane, terminates abruptly on the plane with a finite value. This indicates a non-zero divergence of the…

Classical Physics · Physics 2020-10-09 Ashok K. Singal