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Lie algebra pairing and the Lagrangian and Hamiltonian equations in gauge-invariant problems

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Castrillón López, Marco and Muñoz Masqué, Jaime (2008) Lie algebra pairing and the Lagrangian and Hamiltonian equations in gauge-invariant problems. In Differential geometry and its applications. World Scientific Publishing Co, Hackensack, pp. 595-602. ISBN 981-279-060-8

Official URL: http://www.worldscientific.com/doi/abs/10.1142/9789812790613_0049




Abstract

Let P → M be a principal G-bundle over a pseudo-Riemannian manifold (M, g). If G is semisimple, the Euler-Lagrange and the Hamilton-Cartan equations of the Yang-Mills Lagrangian defined by g are proved to remain unchanged if the Cartan-Killing metric is replaced by any other non-degenerate, adjoint-invariant bilinear form on the Lie algebra


Item Type:Book Section
Additional Information:

Proceedings of the 10th International Conference (DGA 2007) held in Olomouc, August 27–31, 2007

Uncontrolled Keywords:Adjoint-invariant pairing; Gauge invariance; Hamilton-Cartan equations; Jet bundles; Principal connection; Yang-Mills fields
Subjects:Sciences > Mathematics > Differential geometry
ID Code:23037
Deposited On:07 Oct 2013 14:23
Last Modified:12 Dec 2018 15:13

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