Searching for Effects of Spatial Noncommutativity via Chern-Simons' Processes
arXiv:hep-ph/0612319 · doi:10.1103/PhysRevD.74.124005
Abstract
The possibility of testing spatial noncommutativity in the case of both position-position and momentum-momentum noncommuting via a Chern-Simons' process is explored. A Chern-Simons process can be realized by an interaction of a charged particle in special crossed electric and magnetic fields, in which the Chern-Simons term leads to non-trivial dynamics in the limit of vanishing kinetic energy. Spatial noncommutativity leads to the spectrum of the orbital angular momentum possessing fractional values. Furthermore, in both limits of vanishing kinetic energy and subsequent vanishing magnetic field, the Chern-Simons term leads to this system having non-trivial dynamics again, and the dominant value of the lowest orbital angular momentum being , which is a clear signal of spatial noncommutativity. An experimental verification of this prediction by a Stern-Gerlach-type experiment is suggested.
18 pages
References in corpus (31)
- String Theory and Noncommutative Geometry
- Noncommutative Field Theory
- Noncommutative Geometry and Matrix Theory: Compactification on Tori
- Noncommutative Field Theory and Lorentz Violation
- Hydrogen Atom Spectrum and the Lamb Shift in Noncommutative QED
- Noncommutative Open String and D-brane
- D-branes and the Noncommutative Torus
- D-branes and Deformation Quantization
- Non-Commutative Quantum Mechanics
- Quantum mechanics on the noncommutative plane and sphere
- Noncommutative Geometry From Strings and Branes
- Quantum Hall states as matrix Chern-Simons theory
- Constrained Quantization of Open String in Background B Field and Noncommutative D-brane
- Noncommutative Quantum Mechanics from Noncommutative Quantum Field Theory
- Testing Non-commutative QED, Constructing Non-commutative MHD
- Low-energy Limits on the Antisymmetric Tensor Field Background on the Brane and on the Non-commutative Scale
- Aharonov-Bohm Effect in Noncommutative Spaces
- Quantum Theories on Noncommutative Spaces with Nontrivial Topology: Aharonov-Bohm and Casimir Effects
- Fractional Angular Momentum in Noncommutative Space
- Testing spatial noncommutativiy via the Aharonov-Bohm effect
- Isotropic representation of noncommutative 2D harmonic oscillator
- Testing Spatial Noncommutativity via Rydberg Atoms
- Quantum Hall Physics = Noncommutative Field Theory
- The noncommutative harmonic oscillator in more than one dimensions
- The Aharonov-Bohm Effect in Noncommutative Quantum Mechanics
- D-brane Dynamics and the Quantum Hall Effect
- Deformed Two-Photon Squeezed States in Noncommutative Space
- Angular Momentum of Supersymmetric Cold Rydberg Atoms
- Coherent States of the Deformed Heisenberg-Weyl Algebra in Noncommutative Space
- Un-equivalency Theorem between Deformed and undeformed Heisenberg-Weyl's Algebras
- Coordinate noncommutativity in strong non-uniform magnetic fields
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- Test of Quantum Effects of Spatial Noncommutativity using Modified Electron Momentum Spectroscopy
- Induced Fractional Zero-Point Angular Momentum for Charged Particles of the Bohm-Aharonov System by means of a "Spectator" Magnetic Field
- Deformed "Commutative" Chern - Simons System
- Testing Spatial Noncommutativity via Magnetic Hyperfine Structure Induced by Fractional Angular Momentum of Rydberg System