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

M. Chaichian·P. Prešnajder·A. Tureanu
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Abstract

We present a systematic framework for noncommutative (NC) QFT within the new concept of relativistic invariance based on the notion of twisted Poincaré 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 Poincaré 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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M. Chaichian, P. Prešnajder, A. Tureanu. 2004-09-08. New concept of relativistic invariance in NC space-time: twisted Poincaré symmetry and its implications. https://doi.org/10.1103/physrevlett.94.151602

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