Regular Article - Theoretical Physics
On the vacuum states for non-commutative gauge theory
Laboratoire de Physique Théorique, Bât. 210, Université Paris XI, 91405, Orsay Cedex, France
2 Mathematisches Institut, Westfälische Wilhelms-Universität, Einsteinstraße 62, 48149, Münster, Germany
* e-mail: email@example.com
Published online: 4 July 2008
Candidates for renormalizable gauge theory models on Moyal spaces constructed recently have non-trivial vacua. We show that these models support vacuum states that are invariant under both global rotations and symplectic isomorphisms which form a global symmetry group for the action. We compute the explicit expression in position space for these vacuum configurations in two and four dimensions.
© Springer-Verlag , 2008