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Lorentz invariance and unitarity in UV finite NCQFT

2004/06/21 by Anais Smailagic, Euro Spallucci
Physics and Astronomy · #hep-th

paper · pdf

published as J.Phys. A37 (2004) 1-10; Erratum-ibid. A37 (2004) 7169 · Latex, 12pages, no figures

arxiv created 2004/06/21 · arxiv updated 2009/12/01

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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