Symmetries of noncommutative scalar field theory

Details Symmetries of noncommutative scalar field theory Symmetries of noncommutative scalar field theory

2009-11-13

arxiv.org/abs/0911.2645v2

J. Phys. A 44:055401, 2011

Physics

Mathematical Physics

12 pages, revised version

Scientific paper

10.1088/1751-8113/44/5/055401

We investigate symmetries of the scalar field theory with harmonic term on the Moyal space with euclidean scalar product and general symplectic form. The classical action is invariant under the orthogonal group if this group acts also on the symplectic structure. We find that the invariance under the orthogonal group can be restored also at the quantum level by restricting the symplectic structures to a particular orbit.

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