Geometrical Methods in Gauge Theory
Oct, 2006117 pages
Thesis: PhD - Sao Paulo U., Inst. Math. Stat.
e-Print:
- math-ph/0610068 [math-ph]
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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.- thesis
- gauge field theory: Yang-Mills
- fibre bundle
- holonomy
- electromagnetic interaction
- Kaluza-Klein model
- geometry
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