https://doi.org/10.1140/epjc/s10052-008-0652-0
Regular Article - Theoretical Physics
On the vacuum states for non-commutative gauge theory
1
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: jean-christophe.wallet@th.u-psud.fr
Received:
3
April
2008
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
