Symmetries of noncommutative scalar field theory
Mathematical Physics
2011-01-17 v2 High Energy Physics - Theory
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.0911.2645,
title = {Symmetries of noncommutative scalar field theory},
author = {Axel de Goursac and Jean-Christophe Wallet},
journal= {arXiv preprint arXiv:0911.2645},
year = {2011}
}
Comments
12 pages, revised version