Publication: The Groenewold-Moyal plane and its quantum physics
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2009-12-15
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American Institute of Physics
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Abstract
Quantum theories constructed on the noncommutative spacetime called the Groenewold-Moyal(GM) plane exhibit many interesting properties such as causality violation, Lorentz and CPT non-invariance and twisted statistics. Such violations lead to many striking features that may be tested experimentally. Thus these theories predict Pauli-forbidden transitions due to twisted statistics, anisotropies and acausal effects in the cosmic microwave background radiation in correlations of observables and Lorentz and CPT violations in scattering amplitudes. Such features of quantum physics on the GM plane are surveyed in this review.
Description
10 pages, no figures.-- PACS nrs.: 03.70.+k, 02.30.Nw, 11.10.Nx, 04.60.Bc.-- ArXiv pre-print available at: http://arxiv.org/abs/0908.3888v1.pdf
This work is based on the talk given by APB at the XXV Max Born Symposium on Planck Scale Physics, Wroclaw, 29 June-3 July 2009.
This work is based on the talk given by APB at the XXV Max Born Symposium on Planck Scale Physics, Wroclaw, 29 June-3 July 2009.
Keywords
Quantum field theory, Fourier analysis, Unified field theories, Quantum gravity
Bibliographic citation
AIP Conference Proceedings, vol. 1196: The Planck Scale: Proceedings of the XXV Max Born Symposium, p. 18-27