The Yang–Mills system in compactified Minkowski space; Invariance conditions and SU(2) invariant solutions

DOI10.1063/1.524141zbMath0424.58022OpenAlexW1973321745MaRDI QIDQ3858981

Steven Shnider, J. Harnad, Luc Vinet

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1063/1.524141

zbMATH Keywords

gauge fieldscompactified Minkowski spaceSU(2) Yang-Mills equationsself-dual solutions invariant under SU(2) translationsSU(2) principal bundles

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Constructive quantum field theory (81T08) Invariance and symmetry properties for PDEs on manifolds (58J70) Hyperbolic equations on manifolds (58J45)

Related Items (14)

On U(1)-gauge fields and their geometrical interpretation ⋮ Classical Yang-Mills field equations coupled to a scalar triplet invariant under subgroups of the conformal group ⋮ Classification of the Vacua of the Dimensionally Reduced Low‐Energy Limit of the Heterotic String Over Nearly‐Kähler Manifolds ⋮ On the structure of Yang–Mills fields in compactified Minkowski space ⋮ Group actions on principal bundles and dimensional reduction ⋮ Calorons, Nahm's equations on \(S^{1}\) and bundles over \({\mathbb{P}^{1} \times \mathbb{P}^{1}}\) ⋮ Higher-Dimensional Unification with continuous and fuzzy coset spaces as extra dimensions ⋮ Group actions on principal bundles and invariance conditions for gauge fields ⋮ The structure of the solution set for the Yang-Mills equations ⋮ Matter-coupled Yang-Mills system in Minkowski space. II. Invariant solutions in the presence of Dirac spinor fields ⋮ Matter-coupled Yang-Mills system in Minkowski space. I. Invariant solutions in the presence of scalar fields ⋮ Pseudopotentials and Lie symmetries for the generalized nonlinear Schrödinger equation ⋮ Remarks on spacetime symmetries and nonabelian gauge fields ⋮ Geometric quantization and constraints in field theory

Cites Work

• Properties of dilatations and conformal transformations in Minkowski space
• Fibre bundles associated with space-time
• Tensor fields invariant under subgroups of the conformal group of space-time
• Deformations of instantons

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