Noncommutative Fluids
arXiv:0706.1095 · doi:10.1007/978-3-7643-8522-4_3
Abstract
We review the connection between noncommutative gauge theory, matrix models and fluid mechanical systems. The noncommutative Chern-Simons description of the quantum Hall effect and bosonization of collective fermion states are used as specific examples.
To appear in "Seminaire Poincare X", Institut Henri Poincare, Paris; references added
References in corpus (16)
- Physics and Mathematics of Calogero particles
- Perfect Fluid Theory and its Extensions
- LLL vs. LLM: Half BPS Sector of N=4 SYM Equals to Quantum Hall System
- Luttinger's Theorem and Bosonization of the Fermi Surface
- Chiral actions from phase space (quantum Hall) droplets
- A matrix model for a quantum hall droplet with manifest particle-hole symmetry
- Kac-Moody theories for colored phase space (quantum Hall) droplets
- Electromagnetic interactions of higher dimensional quantum Hall droplets
- Numerical Results for U(1) Gauge Theory on 2d and 4d Non-Commutative Spaces
- Bosonization of the lowest Landau level in arbitrary dimensions: edge and bulk dynamics
- Matrix Model Description of Laughlin Hall States
- Quantum Field Theory in a Non-Commutative Space: Theoretical Predictions and Numerical Results on the Fuzzy Sphere
- Fractional quantum Hall effect on the two-sphere: a matrix model proposal
- Bosonization in higher dimensions via noncommutative field theory
- The fermion density operator in the droplet bosonization picture
- Finite matrix model of quantum Hall fluids on