Analytic exact solutions to the nonlinear Dirac equation

Fuente: arXiv
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Autores principales: Fabbri, Luca, Cianci, Roberto
Formato: Preprint
Publicado: 2026
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author Fabbri, Luca
Cianci, Roberto
author_facet Fabbri, Luca
Cianci, Roberto
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2604_05750
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Analytic exact solutions to the nonlinear Dirac equation
Fabbri, Luca
Cianci, Roberto
Mathematical Physics
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.
title Analytic exact solutions to the nonlinear Dirac equation
topic Mathematical Physics
url https://arxiv.org/abs/2604.05750