arXiv Analytics

Sign in

arXiv:math-ph/0610068AbstractReferencesReviewsResources

Geometrical Methods in Gauge Theory

Henrique de A. Gomes

Published 2006-10-25Version 1

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.

Comments: 117 pages, Msc. Thesis, sections' titles in English, main text in portuguese
Categories: math-ph, math.MP
Related articles: Most relevant | Search more
arXiv:math-ph/0605077 (Published 2006-05-30)
Goldfishing by gauge theory
arXiv:math-ph/0209052 (Published 2002-09-25, updated 2003-03-02)
Exotic Yang-Mills dilaton gauge theories
arXiv:2010.01597 [math-ph] (Published 2020-10-04)
Bundle geometry of the connection space, covariant Hamiltonian formalism, the problem of boundaries in gauge theories, and the dressing field method