Analytic exact solutions to the nonlinear Dirac equation
Mathematical Physics
2026-04-08 v1 math.MP
Abstract
We present analytic exact solutions to the nonlinear Dirac equation: they display a ring singularity for the Nambu--Jona-Lasinio nonlinearity and a shell singularity for the Soler nonlinearity. For both cases the size of the singular region is of the order of the Compton length.
Cite
@article{arxiv.2604.05750,
title = {Analytic exact solutions to the nonlinear Dirac equation},
author = {Luca Fabbri and Roberto Cianci},
journal= {arXiv preprint arXiv:2604.05750},
year = {2026}
}
Comments
8 pages