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Lorentz invariance, unitarity and UV-finiteness of QFT on noncommutative spacetime

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Published 30 June 2004 2004 IOP Publishing Ltd
, , Citation Anais Smailagic and Euro Spallucci 2004 J. Phys. A: Math. Gen. 37 7169 DOI 10.1088/0305-4470/37/28/008

0305-4470/37/28/7169

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, noncommutative, two planes. Lorentz invariance is recovered if one imposes a single noncommutative parameter θ 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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10.1088/0305-4470/37/28/008