New concept of relativistic invariance in noncommutative space-time: twisted poincare symmetry and its implications.
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.
Chaichian
M
M
High Energy Physics Division, Department of Physics, University of Helsinki, Helsinki, Finland and Helsinki Institute of Physics, P.O. Box 64, FIN-00014 Helsinki, Finland.
Presnajder
P
P
Tureanu
A
A