Technique of tensors with values in the Atiyah-Kähler algebra in the new representation of Dirac-Yang-Mills equations

DOI10.1134/S106192080603006XzbMath1116.53018MaRDI QIDQ871777

Nikolai Marchuk

Publication date: 26 March 2007

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

field theoryrelativistic\(\Lambda\)-tensor calculusDirac-Yang-Mills equationlocal Pin-transformation

Mathematics Subject Classification ID

Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Spin and Spin({}^c) geometry (53C27) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60)

Related Items (2)

New representation of Dirac-Yang-Mills equations ⋮ Model Dirac-Maxwell equations with pseudounitary symmetry

Cites Work

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