2009/06/07 by Igor V. Sokolov, И. В. Соколов
Physics and Astronomy · #Classical electromagnetism #Classical electron radius #Classical mechanics #Dirac equation #Electron #Experimental and Theoretical Physics Studies #Ladder operator #Lorentz force #Lorentz transformation #Mathematical physics #Momentum (technical analysis) #Momentum operator #Physics #Quantum Mechanics and Applications #Quantum and Classical Electrodynamics #Quantum electrodynamics #Quantum mechanics #Renormalization #physics.class-ph
paper · pdf · doi:10.1134/s1063776109080044
The paper is to appear in JETP (August, 2009), both in Russian and in English
arxiv created 2009/06/07 · openalex publication_date 2009/08/01 · arxiv updated 2015/05/13 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Dirac’s analysis of radiation reaction force in classical electrodynamics suggested that a 4-momentum not collinear with 4-velocity could be introduced for a radiating electron. This would be equivalent to renormalization of the electron mass as an operator relating these 4-vectors. Dirac also pointed to an arbitrary choice made in deriving the Lorentz-Abraham-Dirac (LAD) equation. It was shown that renormalization substantially modifies the LAD equation under the additional requirement that the standard relativistic relation ℰ2 = p 2 c 2 + m 2 c 4 holds for the renormalized energy and momentum. The renormalized LAD equation is more rigorous than the LAD equation, because the drawbacks of the latter are eliminated, and is simpler than a well-known approximation of the LAD equation. The renormalized LAD equation appears to be better suited for numerical simulations of processes in ultrahigh-intensity laser-pulse fields.