Noncommuting gauge fields as a Lagrange fluid.

DOI10.1006/APHY.2002.6290zbMATH Open1124.81303arXivhep-th/0206014OpenAlexW3102665581MaRDI QIDQ1867584

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Publication date: 2 April 2003

Published in: (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/hep-th/0206014

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