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

Anais Smailagic et al 2004 J. Phys. A: Math. Gen. 37 7169-7178   doi: 10.1088/0305-4470/37/28/008  Help

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Anais Smailagic1 and Euro Spallucci2
1 Sezione INFN di Trieste, Strada Costiera 11, 34014 Trieste, Italy
2 Department of Theoretical Physics, University of Trieste, Strada Costiera 11, 34014 Trieste, Italy
E-mail: anais@ictp.trieste.it and spallucci@trieste.infn.it

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.

PACS number: 11.10.Nx

Print publication: Issue 28 (16 July 2004)
Received 26 March 2004, in final form 24 May 2004
Published 30 June 2004

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