Independence of Yang-Mills equations with respect to the invariant pairing in the Lie algebra

DOI10.1007/s10773-006-9256-3zbMath1121.81097OpenAlexW1983400711WikidataQ115383774 ScholiaQ115383774MaRDI QIDQ884806

Jaime Muñoz Masqué, Marco Castrillón López

Publication date: 7 June 2007

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-006-9256-3

zbMATH Keywords

gauge invariancejet bundlesYang-Mills fieldsprincipal connectionAdjoint-invariant pairing

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Applications of Lie groups to the sciences; explicit representations (22E70) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Other connections (53B15)

Cites Work

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• Lectures on real semisimple Lie algebras and their representations
• The Hamilton-Cartan formalism in the calculus of variations
• Parameter Invariance in Field Theory and the Hamiltonian Formalism
• The geometry of the bundle of connections

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