Publication: Lie algebra pairing and the Lagrangian and Hamiltonian equations in gauge-invariant problems
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Publication Date
2008
Authors
Muñoz Masqué, Jaime
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World Scientific Publishing Co
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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
Description
Proceedings of the 10th International Conference (DGA 2007) held in Olomouc, August 27–31, 2007