On the vacuum states for noncommutative gauge theory

Marcillaud de Goursac, Axel;Wallet, Jean-Christophe;Wulkenhaar, Raimar
(2008) European Physical Journal C. Particles and Fields — Vol. 56, p. 293-304 (2008)

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  • Marcillaud de Goursac, AxelUCLouvain
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  • Wallet, Jean-Christophe
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  • Wulkenhaar, Raimar
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Abstract
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.
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Marcillaud de Goursac, A., Wallet, J.-C., & Wulkenhaar, R. (2008). On the vacuum states for noncommutative gauge theory. European Physical Journal C. Particles and Fields, 56, 293-304. https://doi.org/10.1140/epjc/s10052-008-0652-0 (Original work published 2008)