dorsal/arxiv
View SchemaOf Connections and Fields
| Authors | Joseph Samuel |
|---|---|
| Categories | |
| ArXiv ID | physics/0504055 |
| URL | https://arxiv.org/abs/physics/0504055 |
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 somewhat more demanding and is addressed to advanced students of mathematics and physics.
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"abstract": "We describe some instances of the appearance of Chern\u0027s mathematical ideas in\nphysics. By means of simple examples, we bring out the geometric and\ntopological ideas which have found application in describing the physical\nworld. These applications range from magnetic monopoles in electrodynamics to\ninstantons in quantum chromodynamics to the geometric phase of quantum\nmechanics. The first part of this article is elementary and addressed to a\ngeneral reader. The second part is somewhat more demanding and is addressed to\nadvanced students of mathematics and physics.",
"arxiv_id": "physics/0504055",
"authors": [
"Joseph Samuel"
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"title": "Of Connections and Fields",
"url": "https://arxiv.org/abs/physics/0504055"
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