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Galilean symmetry in noncommutative field theory

P. A. Horvathy·L. Martina·P. C. Stichel
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Abstract

When the interaction potential is suitably reordered, the Moyal field theory admits two types of Galilean symmetries, namely the conventional mass-parameter-centrally-extended one with commuting boosts, but also the two-fold centrally extended ``exotic'' Galilean symmetry, where the commutator of the boosts yields the noncommutative parameter. In the free case, one gets an ``exotic'' two-parameter central extension of the Schroedinger group. The conformal symmetry is, however, broken by the interaction.

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P. A. Horvathy, L. Martina, P. C. Stichel. 2003-05-06. Galilean symmetry in noncommutative field theory. https://doi.org/10.1016/s0370-2693(03)00704-4

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