Noncommuting Gauge Fields as a Lagrange Fluid

Details Noncommuting Gauge Fields as a Lagrange Fluid Noncommuting Gauge Fields as a Lagrange Fluid

2002-06-03

arxiv.org/abs/hep-th/0206014v2

Annals Phys. 301 (2002) 157-173

Physics

High Energy Physics

High Energy Physics - Theory

19 pages; final version to appear in Annals of Physics

Scientific paper

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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