The Dirac equation in a non-Riemannian manifold III: An analysis using the algebra of quaternions and octonions

DOI10.1063/1.529291zbMath0731.58071OpenAlexW1969937111WikidataQ115331492 ScholiaQ115331492MaRDI QIDQ3357169

Sirley Marques-Bonham

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1063/1.529291

zbMATH Keywords

Yang-Mills theoryEinstein-Schrödingerflat tangent space- timegauge theory on a curved spaceoctonionic Dirac equationoctonionic tangent spacequaternionic tangent-space

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) Quantum field theory on curved space or space-time backgrounds (81T20) Applications of global analysis to the sciences (58Z05) Partial differential equations on manifolds; differential operators (58J99) Twisted and skew group rings, crossed products (16S35)

Related Items (3)

Physical quantities and spatial parameters in the complex octonion curved space ⋮ Quaternion-octonion analyticity for Abelian and non-Abelian gauge theories of dyons ⋮ Color confinement and spatial dimensions in the complex-sedenion space

Cites Work

• Conservation of Isotopic Spin and Isotopic Gauge Invariance
• The Dirac equation in a non-Riemannian manifold: II. An analysis using an internal local n-dimensional space of the Yang–Mills type
• An extension of quaternionic metrics to octonions
• Quark structure and octonions
• The Dirac equation in a non-Riemannian manifold. I. An analysis using the complex algebra
• The equations of motion in the non-symmetric unified field theory

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