Título:
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Lie algebra pairing and the Lagrangian and Hamiltonian equations in gauge-invariant problems
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Autores:
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Castrillón López, Marco ;
Muñoz Masqué, Jaime
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Tipo de documento:
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texto impreso
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Editorial:
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World Scientific Publishing Co, 2008
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Geometría diferencial
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Tipo = Sección de libro
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Resumen:
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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
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