2004/09/08 by Масуд Чайчиан, M. Chaichian, P. Prešnajder +2 · 6 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Black Holes and Theoretical Physics #CPT symmetry #Global symmetry #Group (periodic table) #Lorentz covariance #Lorentz transformation #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Physics #Poincaré conjecture #Poincaré group #Quantum field theory #Quantum mechanics #Spacetime #Spin (aerodynamics) #Spontaneous symmetry breaking #Symmetry (geometry) #Symmetry breaking #Theoretical physics #hep-th
paper · pdf · doi:10.1103/physrevlett.94.151602
published as Phys.Rev.Lett. 94 (2005) 151602 · 15 pages
arxiv created 2004/09/08 · openalex publication_date 2005/04/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.