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Gauge invariance and variational trivial problems on the bundle of connections.

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Castrillón López, Marco y Muñoz Masqué, Jaime y Ratiu, T. (2003) Gauge invariance and variational trivial problems on the bundle of connections. Differential Geometry and Its Applications, 19 (2). pp. 127-145. ISSN 0926-2245

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URL Oficial: http://www.sciencedirect.com/science/article/pii/S0926224503000160


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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


Tipo de documento:Artículo
Palabras clave:Characteristic classes; Connections on a principal bundle; Euler–Lagrange equations; Gauge invariance; Infinitesimal symmetries; Jet bundles; Lagrangians; Lie algebra representations; Weil polynomials
Materias:Ciencias > Matemáticas > Geometría diferencial
Código ID:23326
Depositado:22 Oct 2013 17:39
Última Modificación:12 Dic 2018 15:13

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