Quantum diffusion of electromagnetic fields of ultrarelativistic spin-half particles

Abstract

We compute electromagnetic fields created by a relativistic charged spin-half particle in empty space at distances comparable to the particle Compton wavelength. The particle is described as a wave packet evolving according to the Dirac equation. It produces the electromagnetic field that is essentially different from the Coulomb field due to the quantum diffusion effect.

Comments: 10 pages, 10 figures