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2004•International Journal of Geometric Methods in Modern PhysicsRequires access

A REPORT ON GAUGE INVARIANT FORMS AND VARIATIONAL PROBLEMS ON THE BUNDLE OF CONNECTIONS OF A PRINCIPAL U(1)-BUNDLE AND ON ASSOCIATED VECTOR BUNDLES

Marco Castrillón López, J. Muñoz Masqué

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Abstract

Basic results on gauge invariance of differential forms on the bundle of connections of an arbitrary principal U(1)-bundle and its associated bundles, are reviewed in terms of the underlying geometry to such bundles, within the framework of classical electromagnetism.

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Basic results on gauge invariance of differential forms on the bundle of connections of an arbitrary principal U(1)-bundle and its associated bundles, are reviewed in terms of the underlying geometry to such bundles, within the framework of classical electromagnetism.

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Available abstract

Basic results on gauge invariance of differential forms on the bundle of connections of an arbitrary principal U(1)-bundle and its associated bundles, are reviewed in terms of the underlying geometry to such bundles, within the framework of classical electromagnetism.

Key concepts: Principal bundle, Associated bundle, Vector bundle, Frame bundle, Vector-valued differential form, Bundle, Normal bundle, Invariant (physics)

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