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arXiv · hep-th/0206014

Noncommuting Gauge Fields as a Lagrange Fluid

R. Jackiw·S. -Y. Pi·A. P. Polychronakos
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Abstract

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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R. Jackiw, S. -Y. Pi, A. P. Polychronakos. 2002-06-21. Noncommuting Gauge Fields as a Lagrange Fluid. https://doi.org/10.1006/aphy.2002.6290

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