Observations on noncommuting coordinates and on fields depending on them

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.

8 pages; TH-2002, Paris, France, July 2002; email correspondence to [email protected]

References in corpus (6)

• String Theory and Noncommutative Geometry
• Testing Non-commutative QED, Constructing Non-commutative MHD
• An Exact Solution to Seiberg-Witten Equation of Noncommutative Gauge Theory
• Covariant Coordinate Transformations on Noncommutative Space
• Superluminal Noncommutative Photons
• Noncommutative 1-cocycle in the Seiberg-Witten map

Cited by in corpus (20)

• Deformed Special Relativity as an effective flat limit of quantum gravity
• Magnetic fields in noncommutative quantum mechanics
• Gravitational non-commutativity and Gödel-like spacetimes
• Weak equivalence principle in noncommutative phase space and the parameters of noncommutativity
• The quantum of area $\Delta A=8\pi l_P^2$ and a statistical interpretation of black hole entropy
• The Wigner distribution function for the one-dimensional parabose oscillator
• Fuzzy circle and new fuzzy sphere through confining potentials and energy cutoffs
• Noncommutativity from spectral flow
• Coordinate noncommutativity in strong non-uniform magnetic fields
• Analogy between the Schwarzschild solution in a noncommutative gauge theory and the Reissner-Nordström metric
• Higher derivative Chern-Simons extension in the noncommutative QED${}_3$
• Contracted Representation of Yang's Space-Time Algebra and Buniy-Hsu-Zee's Discrete Space-Time
• Heisenberg algebra for restricted Landau problem
• Noncommuting spherical coordinates
• A Short Essay on Quantum Black Holes and Underlying Noncommutative Quantized Space-Time
• Where Does Black Hole Entropy Lie? Some Remarks on Area-Entropy Law, Holographic Principle and Noncommutative Space-Time
• Quantum simulation of quantum mechanical system with spatial noncommutativity
• Noncommutativity and the lightfront
• Deformed Kac-Moody Algebra and Noncommutative Fermi Theory in Two-Dimensions
• Extended 2d generalized dilaton gravity theories