New concept of relativistic invariance in NC space-time: twisted Poincaré symmetry and its implications

Details New concept of relativistic invariance in NC space-time: twisted Poincaré symmetry and its implications New concept of relativistic invariance in NC space-time: twisted Poincaré symmetry and its implications

2004-09-08

arxiv.org/abs/hep-th/0409096v1

Phys.Rev.Lett. 94 (2005) 151602

Physics

High Energy Physics

High Energy Physics - Theory

15 pages

Scientific paper

10.1103/PhysRevLett.94.151602

We present a systematic framework for noncommutative (NC) QFT within the new concept of relativistic invariance based on the notion of twisted Poincar\'e symmetry (with all 10 generators), as proposed in ref. [7]. This allows to formulate and investigate all fundamental issues of relativistic QFT and offers a firm frame for the classification of particles according to the representation theory of the twisted Poincar\'e symmetry and as a result for the NC versions of CPT and spin-statistics theorems, among others, discussed earlier in the literature. As a further application of this new concept of relativism we prove the NC analog of Haag's theorem.

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