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On the vacuum states for noncommutative gauge theory

High Energy Physics - Theory 2008-11-26 v1 Mathematical Physics math.MP

Abstract

Candidates for renormalisable 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 the position space for these vacuum configurations in two and four dimensions.

Keywords

Cite

@article{arxiv.0803.3035,
  title  = {On the vacuum states for noncommutative gauge theory},
  author = {Axel de Goursac and Jean-Christophe Wallet and Raimar Wulkenhaar},
  journal= {arXiv preprint arXiv:0803.3035},
  year   = {2008}
}

Comments

20 pages

R2 v1 2026-06-21T10:23:12.721Z