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Title: Of connections and fields - I. Chern's mathematical ideas in physics
Authors: Samuel, J.
Keywords: Connection
magnetic monopoles
Fibre bundles
Gauge group
Geometric phase
Chern–Weil theory
Chern–Simons theory
Issue Date: Apr-2005
Publisher: Indian Academy of Sciences, Bangalore, India.
Citation: Resonance, 2005, April, Vol.10, p10-21.
Abstract: We describe some instances of the appearance of Chern's mathematical ideas in physics. By means of simple examples, we bring out the geometric and topological ideas which have found application in describing the physical world. These applications range from magnetic monopoles in electrodynamics to instantons in quantum chromodynamics to the geometric phase of quantum mechanics. The first part of this article is elementary and addressed to a general reader. The second part is some what more demanding and is addressed to advanced students of mathematics and physics.
ISSN: 0971-8044
Copyright: Indian Academy of Sciences, Bangalore, India.
Appears in Collections:Miscellaneous Publications

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