Noncommuting Gauge Fields as a Lagrange Fluid
High Energy Physics - Theory
2015-06-26 v2
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.
Cite
@article{arxiv.hep-th/0206014,
title = {Noncommuting Gauge Fields as a Lagrange Fluid},
author = {R. Jackiw and S. -Y. Pi and A. P. Polychronakos},
journal= {arXiv preprint arXiv:hep-th/0206014},
year = {2015}
}
Comments
19 pages; final version to appear in Annals of Physics