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Título:
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Gauge invariance and variational trivial problems on the bundle of connections.
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Autores:
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Castrillón López, Marco ;
Muñoz Masqué, Jaime ;
Ratiu, T.
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Tipo de documento:
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texto impreso
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Editorial:
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Elsevier Science, 2003-09
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/restrictedAccess
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Idiomas:
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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 = Artículo
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Resumen:
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Given a principal bundle P?M we classify all first order Lagrangian densities on the bundle of connections associated to P that are invariant under the Lie algebra of infinitesimal automorphisms. These are shown to be variationally trivial and to give constant actions that equal the characteristic numbers of P if dimM is even and zero if dimM is odd. In addition, we show that variationally trivial Lagrangians are characterized by the de Rham cohomology of the base manifold M and the characteristic classes of P of arbitrary degree
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En línea:
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https://eprints.ucm.es/id/eprint/23326/1/castrill%C3%B3n160pdf.pdf
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