Covariant objects and invariant equations on fiber bundles

DOI10.1063/1.524348zbMath0446.53049OpenAlexW2062049517MaRDI QIDQ3891380

Richard Kerner

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1063/1.524348

zbMATH Keywords

geometric objectsYang-Mills fieldClifford algebraLorentz metricconnection formCartan-Killing metricdecomposition of spinors into multiplets of Lorentz spinorsgeneralized Dirac equation for a spinorP-spinorsprincipal bundle over the Minkowski space-time

Mathematics Subject Classification ID

Constructive quantum field theory (81T08) Applications of global differential geometry to the sciences (53C80) Spin and Spin({}^c) geometry (53C27) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Partial differential equations on manifolds; differential operators (58J99) Fiber bundles in algebraic topology (55R10)

Related Items (4)

Unnamed Item ⋮ Multiple fiber bundles and gauge theories of higher order ⋮ Physical algebras in four dimensions. I: The Clifford algebra in Minkowski spacetime ⋮ The Clifford algebra of differential forms

Cites Work

• Dérivées de Lie des spineurs. (Lie derivatives of spinors)

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