• DOI:10.1103/PhysRevLett.94.151602
• Corpus ID: 11674130

New concept of relativistic invariance in noncommutative space-time: twisted poincare symmetry and its implications.

@article{Chaichian2004NewCO,
  title={New concept of relativistic invariance in noncommutative space-time: twisted poincare symmetry and its implications.},
  author={Masud Chaichian and Peter Pre{\vs}najder and Anca Tureanu},
  journal={Physical review letters},
  year={2004},
  volume={94 15},
  pages={
          151602
        }
}

• M. Chaichian, P. Prešnajder, A. Tureanu
• Published 8 September 2004
• Mathematics
• Physical review letters

We present a systematic framework for noncommutative (NC) quantum field theory (QFT) within the new concept of relativistic invariance based on the notion of twisted Poincare symmetry, as proposed by Chaichian et al. [Phys. Lett. B 604, 98 (2004)]. This allows us 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 Poincare 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.