About the geometric structure of symmetry-breaking

DOI10.1063/1.529385zbMath0729.58056OpenAlexW2014754608MaRDI QIDQ3353863

Michael Keyl

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1063/1.529385

zbMATH Keywords

Higgs mechanismsymmetry-breaking, \(Q\)-gauge invariancegauge invariance of Lagrangianslocalized \(Q\)-gauge invariance

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Symmetry breaking in quantum theory (81R40) Jets in global analysis (58A20) Applications of global differential geometry to the sciences (53C80)

Related Items (10)

Symplectic structure and gauge invariance on the cotangent bundle ⋮ Dynamical symmetries, coherent states and nonlinear realizations: The SO(2,4) case ⋮ Local symmetries in gauge theories in a finite-dimensional setting ⋮ Lie groupoids in classical field theory. II: Gauge theories, minimal coupling and Utiyama's theorem ⋮ Homogeneous algebraic distributions ⋮ Dynamical symmetries, super-coherent states and noncommutative structures: categorical and geometrical quantization analysis ⋮ Covariant spin structure ⋮ CLASSICAL FIELD THEORY: ADVANCED MATHEMATICAL FORMULATION ⋮ Gauge forms on \(\text{SU}(2)\)-bundles ⋮ Classical Higgs fields

Cites Work

• Geometrical approach to the reduction of gauge theories with spontaneously broken symmetry
• The Hamilton-Cartan formalism in the calculus of variations

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