Unitary Quantum Field Theory on the Noncommutative Minkowski space

Details Unitary Quantum Field Theory on the Noncommutative Minkowski space Unitary Quantum Field Theory on the Noncommutative Minkowski space

2002-12-20

arxiv.org/abs/hep-th/0212266v2

Fortsch.Phys. 51 (2003) 658-663

Physics

High Energy Physics

High Energy Physics - Theory

6 pages. To appear in the proceedings of 35th International Symposium Ahrenshoop on the theory of Elementary Particles: Recent

Scientific paper

10.1002/prop.200310079

This is the written version of a talk I gave at the 35th Symposium Ahrenshoop in Berlin, Germany, August 2002. It is an exposition of joint work with S. Doplicher, K. Fredenhagen, and Gh. Piacitelli [1]. The violation of unitarity found in quantum field theory on noncommutative spacetimes in the context of the so-called modified Feynman rules is linked to the notion of time ordering implicitely used in the assumption that perturbation theory may be done in terms of Feynman propagators. Two alternative approaches which do not entail a violation of unitarity are sketched. An outlook upon our more recent work is given.

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