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
• DOI: 10.1006/aphy.2002.6290

✦ 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.