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Lorentz invariance and unitarity in UV finite NCQFT

Anais Smailagic·Euro Spallucci
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Abstract

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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Anais Smailagic, Euro Spallucci. 2004-06-21. Lorentz invariance and unitarity in UV finite NCQFT. https://arxiv.org/abs/hep-th/0406174

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