Lorentz invariance and unitarity in UV finite NCQFT

Details Lorentz invariance and unitarity in UV finite NCQFT Lorentz invariance and unitarity in UV finite NCQFT

2004-06-21

arxiv.org/abs/hep-th/0406174v1

J.Phys. A37 (2004) 1-10; Erratum-ibid. A37 (2004) 7169

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 12pages, no figures

Scientific paper

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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