New representation of Dirac-Yang-Mills equations

DOI10.1134/S1061920806040030zbMath1113.81097MaRDI QIDQ871786

Nikolai Marchuk

Publication date: 26 March 2007

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

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Yang-Mills and other gauge theories in quantum field theory (81T13) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Celestial mechanics (70F15) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Related Items (1)

Model Dirac-Maxwell equations with pseudounitary symmetry

Cites Work

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• Technique of tensors with values in the Atiyah-Kähler algebra in the new representation of Dirac-Yang-Mills equations
• Dirac \(\gamma\)-equation, classical gauge fields and Clifford algebra
• Dirac--Kähler equation
• GENERALIZED GAUGE THEORIES AND THE WEINBERG–SALAM MODEL WITH DIRAC–KÄHLER FERMIONS
• DIRAC–KÄHLER FERMION FROM CLIFFORD PRODUCT WITH NONCOMMUTATIVE DIFFERENTIAL FORM ON A LATTICE
• Symplectic Dirac–Kähler fields

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