Anais Smailagic and Euro Spallucci 2004 J. Phys. A: Math. Gen. 37 7169 doi:10.1088/0305-4470/37/28/008
Anais Smailagic1 and Euro Spallucci2
Show affiliationsUltraviolet 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.
02.40.Gh Noncommutative geometry
11.10.Nx Noncommutative field theory
11.30.Er Charge conjugation, parity, time reversal, and other discrete symmetries
58J70 Invariance and symmetry properties (See also 35A30)
81T75 Noncommutative geometry methods (See also 46L85, 46L87, 58B34)
Issue 28 (16 July 2004)
Received 26 March 2004, in final form 24 May 2004
Published 30 June 2004
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