A Hydrodynamics Formulation for a Nonlinear Dirac Equation

arXiv (Cornell University)

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.

Authors 2

1. Joan Morrill i Gavarró
2. Michael Westdickenberg Aachen Lehrstuhl für Mathematik (Analysis)

   RWTH Aachen University

   Affiliation as printed

   Lehrstuhl für Mathematik (Analysis) , RWTH Aachen Uni- versity , Im Süsterfeld 2 , D-52072 Aachen , Germany