Geometrical Methods in Gauge Theory
arXiv:math-ph/0610068
Abstract
In this work we explore the geometrical interpretation of gauge theories through the formalism of fiber bundles. Moreover, we conduct an investigation in the topology of fiber bundles, providing a proof of the Classification Theorem. In the last chapter we present some applications, such as electromagnetism and generalized Kaluza-Klein Theory.
117 pages, Msc. Thesis, sections' titles in English, main text in portuguese