Some applications of the theory of connections to physics (Q2702034)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some applications of the theory of connections to physics |
scientific article |
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12 March 2001
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connection
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curvature
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principal bundle
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gauge theory
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Some applications of the theory of connections to physics (English)
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In this article the author reviews the basic theory of connections and mentions some theories in physics where this is relevant. The subjects discussed are: connections on a smooth manifold, principal bundles, connections on principal bundles, holonomy, curvature, general relativity, gauge theory and quantum mechanics. His main references are: \textit{S. Kobayashi} and \textit{K. Nomizu}, Foundations of Differential Geometry, Vol. I (1963; Zbl 0119.37502); \textit{R. K. Sachs} and \textit{H. Wu}, General Relativity for Mathematicians (1977; Zbl 0373.53001); and \textit{G. W. Mackey}, The Mathematical Foundations of Quantum Mechanics (1963; Zbl 0114.44002).NEWLINENEWLINEFor the entire collection see [Zbl 0948.00009].
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