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arxiv: hep-th/0406174 · v1 · submitted 2004-06-21 · ✦ hep-th

Lorentz invariance and unitarity in UV finite NCQFT

classification ✦ hep-th
keywords finitecommutativeinvariancelorentzncqftspacetimetheoryunitarity
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Ultraviolet finite quantum field theory on even dimensional noncommutative spacetime is formulated using coordinate coherent states. 2d spacetime is foliated into families of orthogonal, non commutative, two-planes. Lorentz invariance is recovered if one imposes a single non commutative parameter theta in the theory. Unitarity is checked at the one-loop level and no violation is found. Being UV finite NCQFT does not present any UV/IR mixing.

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