A Hydrodynamics Formulation for a Nonlinear Dirac Equation
Analysis of PDEs
2026-03-05 v1
Abstract
We derive a hydrodynamics formulation for a modified Dirac equation with a nonlinear mass term that preserves the homogeneity of the original Dirac equation. The nonlinear Dirac equation admits a symmetric split into the left and right-handed spinor components. It is formulated using Clifford algebra tools. We prove global existence for a regularized equation.
Cite
@article{arxiv.2603.04326,
title = {A Hydrodynamics Formulation for a Nonlinear Dirac Equation},
author = {Joan Morrill i Gavarró and Michael Westdickenberg},
journal= {arXiv preprint arXiv:2603.04326},
year = {2026}
}