On the vacuum states for non-commutative gauge theory

被引:0
|
作者
A. de Goursac
J.-C. Wallet
R. Wulkenhaar
机构
[1] Université Paris XI,Laboratoire de Physique Théorique, Bât. 210
[2] Westfälische Wilhelms-Universität,Mathematisches Institut
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关键词
Gauge Theory; Matrix Basis; Gauge Potential; Global Symmetry Group; Moyal Product;
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摘要
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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页码:293 / 304
页数:11
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