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On the vacuum states for noncommutative gauge theory

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Marcillaud de Goursac, Axel [UCL] Wallet, Jean-Christophe Wulkenhaar, Raimar

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.

Document type Article de périodique (Journal article) – Article de recherche
Access type Accès libre
Publication date 2008
Language Anglais
Journal information "European Physical Journal C. Particles and Fields" - Vol. 56, p. 293-304 (2008)
Peer reviewed yes
Publisher Springer ((Germany) Heidelberg)
issn 1434-6044
e-issn 1434-6052
Publication status Publié
Affiliations UCL - SST/IRMP - Institut de recherche en mathématique et physique
UCL - SC/MATH - Département de mathématique
Keywords Gauge theory ; Noncommutative space ; Renormalization ; Vacuum states
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Bibliographic reference Marcillaud de Goursac, Axel ; Wallet, Jean-Christophe ; Wulkenhaar, Raimar. On the vacuum states for noncommutative gauge theory. In: European Physical Journal C. Particles and Fields, Vol. 56, p. 293-304 (2008)
Permanent URL http://hdl.handle.net/2078.1/137000