On plane wave and vortex-like solutions of noncommutative Maxwell-Chern-Simons theory
arXiv:hep-th/0310088 · doi:10.1088/1126-6708/2003/11/011
Abstract
We investigate the spectrum of the gauge theory with Chern-Simons term on the noncommutative plane, a modification of the description of the Quantum Hall fluid recently proposed by Susskind. We find a series of the noncommutative massive ``plane wave'' solutions with polarization dependent on the magnitude of the wave-vector. The mass of each branch is fixed by the quantization condition imposed on the coefficient of the noncommutative Chern-Simons term. For the radially symmetric ansatz a vortex-like solution is found and investigated. We derive a nonlinear difference equation describing these solutions and we find their asymptotic form. These excitations should be relevant in describing the Quantum Hall transitions between plateaus and the end transition to the Hall Insulator.
arXiv comment17 pages, LaTeX (JHEP), 1 figure, added references, version accepted to JHEP
References in corpus (29)
- String Theory and Noncommutative Geometry
- Noncommutative Field Theory
- Quantum Hall states as matrix Chern-Simons theory
- Testing Non-commutative QED, Constructing Non-commutative MHD
- Flux tube solutions in noncommutative gauge theories
- Hall Effect in Noncommutative Coordinates
- Two-Loop Diagrams in Noncommutative theory
- Fuzzy Complex Projective Spaces and their Star-products
- On Level Quantization for the Noncommutative Chern-Simons Theory
- Quantum Hall Physics = Noncommutative Field Theory
- Generalized Coherent State Approach to Star Products and Applications to the Fuzzy Sphere
- Quantum Hall states on the cylinder as unitary matrix Chern-Simons theory
- Chern-Simons Theories on Noncommutative Plane
- Chern-Simons matrix model: coherent states and relation to Laughlin wavefunctions
- Finite Noncommutative Chern-Simons with a Wilson Line and the Quantum Hall Effect
- Geometrical Evaluation of Star Products
- Superluminal Noncommutative Photons
- A Note on Noncommutative Chern-Simons Theories
- Orthogonal basis for the energy eigenfunctions of the Chern-Simons matrix model
- Non-commutative Chern-Simons for the Quantum Hall System and Duality
- Absence of the Holographic Principle in Noncommutative Chern-Simons Theory
- Solitons in 2+1 Dimensional Non-Commutative Maxwell Chern-Simons Higgs Theories
- Quantum Spacetimes in the Year 1
- Duality and Non-linear Response for Quantum Hall Systems
- Entropy of Killing horizons from Virasoro algebra in D-dimensional extended Gauss-Bonnet gravity
- Noncommutative Chern-Simons terms and the noncommutative vacuum
- Self-dual Chern-Simons solitons in noncommutative space
- Noncommutative Field Theory and the Dynamics of Quantum Hall Fluids
- Edge Currents in Non-commutative Chern-Simons Theory from a New Matrix Model