Gauge invariance and variational trivial problems on the bundle of connections.

DOI10.1016/S0926-2245(03)00016-0zbMath1067.58013OpenAlexW2033325758WikidataQ115338047 ScholiaQ115338047MaRDI QIDQ1410596

Tudor S. Ratiu, Marco Castrillón López, Jaime Muñoz Masqué

Publication date: 14 October 2003

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0926-2245(03)00016-0

zbMATH Keywords

Euler-Lagrange equationsGauge invarianceLie algebra representationsLagrangiansWeil polynomialsCharacteristic classesConnections on a principal bundleInfinitesimal symmetriesJet bundles

Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) Variational principles in infinite-dimensional spaces (58E30) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07)

Related Items (4)

Euler–Lagrange Equations for Functionals Defined On Fréchet Manifolds ⋮ Higher order Utiyama-like theorem ⋮ GAUGE THEORIES OF GRAVITY AND MASS GENERATION ⋮ Structure of gauge-invariant Lagrangians

Cites Work

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• Extensions of the Poisson bracket to differential forms and multi-vector fields
• Curvature and characteristic classes
• Gauge algebras, curvature and symplectic structure
• Trivial Lagrangians in field theory
• Connections and 1-jet fiber bundles
• Topological Lagrangians and cohomology
• Invariant Theoretical Interpretation of Interaction
• Complex Analytic Connections in Fibre Bundles
• Gauge-natural bundles and generalized gauge theories
• Characteristic Classes. (AM-76)
• Gauge-invariant variationally trivial problems on T *M

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