2023-10-26   70621

Principal Bundles and Associated Vector Bundles

The concept of a gauge field in classical physics is based on the mathematical concept of a principal bundle. Some other classical fields that interact with gauge fields are based on the concept of vector bundles that are associated with the principal bundle. This article introduces principal bundles and vector bundles as specializations of the general concept of a fiber bundle. This is a prerequisite for article 76708, which explains how these things relate to the concept of a gauge field.

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www.cphysics.org updated 2023-11-12