\(\text{U}(1)\)-invariant current forms

DOI10.1016/S0034-4877(03)80039-3zbMath1067.70024OpenAlexW1512979733MaRDI QIDQ1430987

Marco Castrillón López, Jaime Muñoz Masqué

Publication date: 27 May 2004

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(03)80039-3

zbMATH Keywords

gauge-invariant Lagrangians

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Jets in global analysis (58A20) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05)

Cites Work

• Smooth functions invariant under the action of a compact Lie group
• The geometry of gauge-particle field interaction: A generalization of Utiyama's theorem
• Symplectic structure and gauge invariance on the cotangent bundle
• Gauge invariance on interactionU(1) bundles
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