Symmetries of noncommutative scalar field theory

Understand

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.