Noncommutative planar particle dynamics with gauge interactions

DOI10.1016/S0003-4916(03)00010-1zbMath1026.81063arXivhep-th/0207149WikidataQ62579700 ScholiaQ62579700MaRDI QIDQ1395786

Wojciech J. Zakrzewski, Peter C. Stichel, Jerzy Lukierski

Publication date: 1 July 2003

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0207149

zbMATH Keywords

fractional quantum Hall effectSeiberg-Witten mapminimal electromagnetic couplingChern-Simon actionDuval-Horvathy modelgauge field dreibein formalism

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Quantization in field theory; cohomological methods (81T70) Noncommutative geometry methods in quantum field theory (81T75) Many-body theory; quantum Hall effect (81V70)

Related Items (14)

COMMENTS ON SPIN-ORBIT INTERACTION OF ANYONS ⋮ On the Landau system in noncommutative phase-space ⋮ Nonrelativistic anyons in external electromagnetic field ⋮ Dynamics of a noncommutative monopole ⋮ Non-commutative oscillator with Kepler-type dynamical symmetry ⋮ \(N=2\) supersymmetric planar particles and magnetic interaction from noncommutativity ⋮ Doubly special relativity in position space starting from the conformal group ⋮ A new type of conformal dynamics. ⋮ Space-time Schrödinger symmetries of a post-Galilean particle ⋮ Non-commutative harmonic oscillator in magnetic field and continuous limit ⋮ Fingerprints of the quantum space-time in time-dependent quantum mechanics: an emergent geometric phase ⋮ Gauge invariance and classical dynamics of noncommutative particle theory ⋮ Anyons, group theory and planar physics ⋮ Noncommutative quantum mechanics of simple matter systems interacting with circularly polarized gravitational waves

Cites Work

• Galilean-invariant \((2+1)\)-dimensional models with a Chern-Simons-like term and \(D=2\) noncommutative geometry
• Second central extension in Galilean covariant field theory
• On unitary ray representations of continuous groups
• Hamiltonian reduction of unconstrained and constrained systems
• Anyon spin and the exotic central extension of the planar Galilei group
• Chern-Simons particles with nonstandard gravitational interaction
• *-Trek II: *\(_n\) operations, open Wilson lines and the Seiberg-Witten map
• Deformed Chern-Simons interaction for nonrelativistic point particles

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