DOI: 10.1140/epjc/s2003-01396-8
No UV/IR mixing in unitary space-time non-commutative field theory
P. Fischer1 and V. Putz21 Theory Division, CERN, 1211 Geneva 23, Switzerland
2 Max-Planck-Institut für Mathematik in den Naturwissenschaften, Inselstraße 22-26, 04103 Leipzig, Germany
pfischer@mail.cern.ch
putz@hep.itp.tuwien.ac.at
(Received: 26 August 2003 / / Published online: 20 November 2003)
Abstract
In this article we calculate several divergent amplitudes in
-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 that allow for a much easier diagrammatic calculation of
amplitudes. The most important feature of the present theory is the absence 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 Feynman rules we found, this opens
promising vistas onto the systematic renormalization of non-commutative field
theories.
© Società Italiana di Fisica, Springer-Verlag 2004
