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Of connections and fields - I. Chern's mathematical ideas in physics

dc.contributor.authorSamuel, J.
dc.date.accessioned2005-12-26T08:53:24Z
dc.date.available2005-12-26T08:53:24Z
dc.date.issued2005-04
dc.description.abstractWe 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.en
dc.format.extent273445 bytes
dc.format.mimetypeapplication/pdf
dc.identifier.citationResonance, 2005, April, Vol.10, p10-21.en
dc.identifier.issn0971-8044
dc.identifier.urihttp://hdl.handle.net/2289/863
dc.language.isoenen
dc.publisherIndian Academy of Sciences, Bangalore, India.en
dc.rightsIndian Academy of Sciences, Bangalore, India.en
dc.subjectConnectionen
dc.subjectCurvatureen
dc.subjectmagnetic monopolesen
dc.subjectFibre bundlesen
dc.subjectGauge groupen
dc.subjectGeometric phaseen
dc.subjectChern–Weil theoryen
dc.subjectChern–Simons theoryen
dc.titleOf connections and fields - I. Chern's mathematical ideas in physicsen
dc.typeArticleen

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