A Hydrodynamics Formulation for a Nonlinear Dirac Equation
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2026
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866917314486599680 |
|---|---|
| author | Gavarró, Joan Morrill i Westdickenberg, Michael |
| author_facet | Gavarró, Joan Morrill i Westdickenberg, Michael |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_04326 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A Hydrodynamics Formulation for a Nonlinear Dirac Equation Gavarró, Joan Morrill i Westdickenberg, Michael Analysis of PDEs 15A66, 35Q41, 81R25 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. |
| title | A Hydrodynamics Formulation for a Nonlinear Dirac Equation |
| topic | Analysis of PDEs 15A66, 35Q41, 81R25 |
| url | https://arxiv.org/abs/2603.04326 |