On the vacuum states for noncommutative gauge theory

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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20 pages

Scientific paper

10.1140/epjc/s10052-008-0652-0

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.

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