The Abraham-Lorentz force and electrodynamics at the classical electron radius
arXiv:1701.04068 · doi:10.1142/S0217751X19500775
Abstract
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 problematic point because the energy of regulated relativistic cutoff theories is unbounded from below. However one can construct point splitting regulators which keep the Abraham-Lorentz force stable. The classical language can be reconciled with QED by pointing out that the effective quantum theory for the electric charge supports a saddle point producing the classical radiation reaction forces.
final version, Int. J. Mod. Phys. 43 1950077 (2019)
References in corpus (6)
- Radiation reaction of a classical quasi-rigid extended particle
- Quantum-classical crossover in electrodynamics
- Boost invariant regulator for field theories
- Stability and causality of multi-local theories
- Sub-classical fields and polarization in electrodynamics
- Path integral regularization of pure Yang-Mills theory