Noncommuting fields and non-Abelian fluids

Abstract

The original ideas about noncommuting coordinates are recalled. The connection between U(1) gauge fields defined on noncommuting coordinates and fluid mechanics is explained. Non-Abelian fluid mechanics is described.

16 pp., invited talk at "Renormalization Group and Anomalies in Gravity and Cosmology", Ouro Preto, Brazil, March 2003. Minor typos corrected

References in corpus (10)

• Noncommutative Field Theory and Lorentz Violation
• Testing Non-commutative QED, Constructing Non-commutative MHD
• Noncommutative Field Theories and Gravity
• An Exact Solution to Seiberg-Witten Equation of Noncommutative Gauge Theory
• Covariant Coordinate Transformations on Noncommutative Space
• Non-Abelian Fluid Dynamics in Lagrangian Formulation
• Superluminal Noncommutative Photons
• Perturbative Analysis of the Seiberg-Witten Map
• Noncommuting Coordinates in the Landau Problem
• Noncommutative 1-cocycle in the Seiberg-Witten map

Cited by in corpus (12)

• Composite system in noncommutative space and the equivalence principle
• $\kappa$-deformed complex fields and discrete symmetries
• Relativistic fluid mechanics, Kahler manifolds and supersymmetry
• Noncommutative fluid dynamics in the Snyder space-time
• Non-commutativity and non-inertial effects on the Dirac oscillator in a cosmic string space-time
• Noncommutative fluid dynamics in the Kähler parametrization
• Heisenberg algebra for restricted Landau problem
• Faddeev-Jackiw analysis for the charged compressible fluid in a higher-derivative electromagnetic field background
• Plane waves in noncommutative fluids
• Field Theory of the Eulerian Perfect Fluid
• Area Preserving Transformations in Non-commutative Space and NCCS Theory
• Non-commutative field theory approach to two-dimensional vortex liquid system