Dirac \(\gamma\)-equation, classical gauge fields and Clifford algebra

DOI10.1007/BF03041932zbMath0918.15009arXivmath-ph/9811022MaRDI QIDQ1276109

Nikolai Marchuk

Publication date: 8 August 1999

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/9811022

zbMATH Keywords

Clifford algebrasDirac equationfactorizationgauge fieldsYang-Mills equationDirac-Yang-Mills systemKlein-Gordon operatorMaxwell \(\gamma\) equations

Mathematics Subject Classification ID

Related Items (9)

Technique of tensors with values in the Atiyah-Kähler algebra in the new representation of Dirac-Yang-Mills equations ⋮ New representation of Dirac-Yang-Mills equations ⋮ Clifford algebraic spinor and the Dirac wave equations ⋮ Reconstruction of solutions to a generalized Moisil-Theodorescu system in a spatial domain from their values on a part of the boundary ⋮ Operators and field equations in the electroweak sector of particle physics ⋮ Huygens' principle, Dirac operators, and rational solutions of the AKNS hierarchy ⋮ Huygens' principle for hyperbolic operators and integrable hierarchies ⋮ On Huygens' principle for Dirac operators associated to electromagnetic fields ⋮ Model Dirac-Maxwell equations with pseudounitary symmetry

Cites Work

• Dirac-Hestenes spinor fields on Riemann-Cartan manifolds
• Equations of motion for spinning massive particles over twistor fields
• Dual space and Clifford algebras
• Spinors and multivectors as a unified tool for spacetime geometry and for elementary particle physics
• Lie groups as spin groups
• A multivectorial Dirac equation
• Conservation of Isotopic Spin and Isotopic Gauge Invariance
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