Invariant spinors and reduced Dirac equations under subgroups of the Euclidean group in four-dimensional Euclidean space

DOI10.1063/1.531065zbMath0845.58058OpenAlexW2063377320MaRDI QIDQ4873310

Martin Legare

Publication date: 16 April 1996

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

Full work available at URL: https://doi.org/10.1063/1.531065

zbMATH Keywords

invariancereduction by symmetryYang-Mills equationsDirac spinors

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Applications of PDEs on manifolds (58J90) Invariance and symmetry properties for PDEs on manifolds (58J70) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60)

Cites Work

• Invariant connections in a non-Abelian principal bundle
• Self duality in super Yang-Mills theories
• Dérivées de Lie des spineurs. (Lie derivatives of spinors)
• Matter-coupled Yang-Mills system in Minkowski space. II. Invariant solutions in the presence of Dirac spinor fields
• Reductions by isometries of the self-dual Yang–Mills equations in four-dimensional Euclidean space
• Spinor fields invariant under space–time transformations
• Group actions on principal bundles and invariance conditions for gauge fields
• Self-duality in four-dimensional Riemannian geometry
• Two-dimensional reductions of the self-dual Yang–Mills equations in self-dual spaces
• On self-dual gauge fields

This page was built for publication: Invariant spinors and reduced Dirac equations under subgroups of the Euclidean group in four-dimensional Euclidean space