Causality and statistics on the Groenewold-Moyal plane
arXiv:0905.0876 · doi:10.1007/s10701-009-9335-4
Abstract
Quantum theories constructed on the noncommutative spacetime called the Groenewold-Moyal plane exhibit many interesting properties such as Lorentz and CPT noninvariance, causality violation and twisted statistics. We show that such violations lead to many striking features that may be tested experimentally. These theories predict Pauli forbidden transitions due to twisted statistics, anisotropies in the cosmic microwave background radiation due to correlations of observables in spacelike regions and Lorentz and CPT violations in scattering amplitudes.
12 pages, 1 figure. Based on the talk given by APB at the Workshop "Theoretical and Experimental Aspects of the Spin Statisics Connection and Related Symmetries", Stazione Marittima Conference Center, Trieste, Italy from the 21st to the 25th of October 2008
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Cited by in corpus (12)
- Non-Pauli Transitions From Spacetime Noncommutativity
- A unifying perspective on the Moyal and Voros products and their physical meanings
- Metrics and causality on Moyal planes
- Non-commutative Quantum Mechanics in Three Dimensions and Rotational Symmetry
- Noncommutative oscillators from a Hopf algebra twist deformation. A first principles derivation
- Thermofield Dynamics for Twisted Poincare-Invariant Field Theories: Wick Theorem and S-matrix
- Fate of the Superconducting Ground State on the Moyal Plane
- UV/IR mixing as a twisted Poincaré anomaly
- Lehmann-Symanzik-Zimmermann S-Matrix elements on the Moyal Plane
- Quantum causality constraints on kappa-Minkowski space-time
- Vortex Scattering and Intercommuting Cosmic Strings on a Noncommutative Spacetime
- Physical models from noncommutative causality