Galilean symmetry in noncommutative field theory

Details Galilean symmetry in noncommutative field theory Galilean symmetry in noncommutative field theory

2003-04-25

arxiv.org/abs/hep-th/0304215v2

Phys.Lett. B564 (2003) 149-154

Physics

High Energy Physics

High Energy Physics - Theory

Corrected version. Further remarks and references added. LaTex, 8 pages, no figures

Scientific paper

10.1016/S0370-2693(03)00704-4

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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