Please use this identifier to cite or link to this item:
http://hdl.handle.net/2289/863
Title: | Of connections and fields - I. Chern's mathematical ideas in physics |
Authors: | Samuel, J. |
Keywords: | Connection Curvature 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. |
URI: | http://hdl.handle.net/2289/863 |
ISSN: | 0971-8044 |
Copyright: | Indian Academy of Sciences, Bangalore, India. |
Appears in Collections: | Miscellaneous Publications |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
2005 Resonance V10 p10 April.pdf | 12p. | 267.04 kB | Adobe PDF | View/Open |
Items in RRI Digital Repository are protected by copyright, with all rights reserved, unless otherwise indicated.