Noncommuting Gauge Fields as a Lagrange Fluid

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.

19 pages; final version to appear in Annals of Physics

References in corpus (2)

• An Exact Solution to Seiberg-Witten Equation of Noncommutative Gauge Theory
• Covariant Coordinate Transformations on Noncommutative Space

Cited by in corpus (8)

• Perfect Fluid Theory and its Extensions
• Noncommutative Gravity
• Unitary Quantum Physics with Time-Space Noncommutativity
• Matrix Model Description of Laughlin Hall States
• On Coordinate Transformations in Planar Noncommutative Theories
• Morphing quantum mechanics and fluid dynamics
• Matrix Effective Theories of the Fractional Quantum Hall effect
• Quasi-hole solutions in finite noncommutative Maxwell-Chern-Simons theory