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Symmetries of noncommutative scalar field theory

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Published 4 January 2011 • 2011 IOP Publishing Ltd
, , Citation Axel de Goursac and Jean-Christophe Wallet 2011 J. Phys. A: Math. Theor. 44 055401 DOI 10.1088/1751-8113/44/5/055401

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Author affiliations

1 Département de Mathématiques et Physique, Université Catholique de Louvain, Chemin du Cyclotron, 2, 1348 Louvain-la Neuve, Belgium

2 Laboratoire de Physique Théorique, Bât. 210, Université Paris XI, F-91405 Orsay Cedex, France

Dates

  1. Received 22 July 2010
  2. Published

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Abstract

We investigate symmetries of the scalar field theory with a harmonic term on the Moyal space with the 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 also be restored at the quantum level by restricting the symplectic structures to a particular orbit.

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10.1088/1751-8113/44/5/055401