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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 |
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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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