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Noncommuting Gauge Fields as a Lagrange Fluid

✍ Scribed by R. Jackiw; S.-Y. Pi; A.P. Polychronakos


Book ID
102562016
Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
126 KB
Volume
301
Category
Article
ISSN
0003-4916

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✦ Synopsis


The Lagrange description of an ideal fluid gives rise in a natural way to a gauge potential and a Poisson structure that are classical precursors of analogous noncommuting entities. With this observation we are led to construct gauge-covariant coordinate transformations on a noncommuting space. Also we recognize the Seiberg-Witten map from noncommuting to commuting variables as the quantum correspondent of the Lagrange to Euler map in fluid mechanics.


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