No UV/IR Mixing in Unitary Space-Time Noncommutative Field Theory

Details No UV/IR Mixing in Unitary Space-Time Noncommutative Field Theory No UV/IR Mixing in Unitary Space-Time Noncommutative Field Theory

2003-06-11

arxiv.org/abs/hep-th/0306099v2

Eur.Phys.J. C32 (2004) 269-280

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, uses package feynmf, v2: typos, added reference, minor improvements

Scientific paper

10.1140/epjc/s2003-01396-8

In this article we calculate several divergent amplitudes in phi^4-theory on non-commutative space-time in the framework of Interaction Point Time Ordered Perturbation Theory (IPTOPT), continuing work done in hep-th/0209253. On the ground of these results we find corresponding Feynman rules which allow for a much easier diagrammatic calculation of amplitudes. The most important feature of the present theory is the lack of the UV/IR mixing problem in all amplitudes calculated so far. Although we are not yet able to give a rigorous proof, we provide a strong argument for this result to hold in general. Together with the found Feynman rules this opens promising vistas towards the systematic renormalization of non-commutative field theories.

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