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arXiv · hep-th/0106044

Testing Non-commutative QED, Constructing Non-commutative MHD

Z. Guralnik·R. Jackiw·S. Y. Pi·A. P. Polychronakos
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Abstract

The effect of non-commutativity on electromagnetic waves violates Lorentz invariance: in the presence of a background magnetic induction field b, the velocity for propagation transverse to b differs from c, while propagation along b is unchanged. In principle, this allows a test by the Michelson-Morley interference method. We also study non-commutativity in another context, by constructing the theory describing a charged fluid in a strong magnetic field, which forces the fluid particles into their lowest Landau level and renders the fluid dynamics non-commutative, with a Moyal product determined by the background magnetic field.

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Z. Guralnik, R. Jackiw, S. Y. Pi, A. P. Polychronakos. 2001-08-02. Testing Non-commutative QED, Constructing Non-commutative MHD. https://doi.org/10.1016/s0370-2693(01)00986-8

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