Formulation of spinors in terms of gauge fields

DOI10.1007/s10701-014-9854-5zbMath1314.81100arXiv1503.02039OpenAlexW2094560018MaRDI QIDQ2342706

S. R. Vatsya

Publication date: 29 April 2015

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

Full work available at URL: https://arxiv.org/abs/1503.02039

zbMATH Keywords

gauge fieldsKaluza-Klein formulationKlein-Gordon equation in Riemannian spacespath-integrals in curved spacesspinors in Weyl geometry

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Path integrals in quantum mechanics (81S40) Spinor and twistor methods applied to problems in quantum theory (81R25) Kaluza-Klein and other higher-dimensional theories (83E15) Global Riemannian geometry, including pinching (53C20) Equations of motion in general relativity and gravitational theory (83C10) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Cites Work

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• Derivation of the Dirac equation by conformal differential geometry
• Mechanics of a particle in a Riemannian manifold
• Search for a realistic Kaluza-Klein theory
• On the Restricted Lorentz Group and Groups Homomorphically Related to It
• Dynamical Theory in Curved Spaces. I. A Review of the Classical and Quantum Action Principles