Twist and Spin-Statistics Relation in Noncommutative Quantum Field Theory
arXiv:hep-th/0603219 · doi:10.1016/j.physletb.2006.05.022
Abstract
The twist-deformation of the Poincaré algebra as symmetry of the field theories on noncommutative space-time with Heisenberg-like commutation relation is discussed in connection to the relation between a sound approach to the twist and the quantization in noncommutative field theory. The recent claims of violation of Pauli's spin-statistics relation and the absence of UV/IR mixing in such theories are shown not to be founded.
15 pages
Cited by in corpus (18)
- Statistics and UV-IR Mixing with Twisted Poincare Invariance
- On "full" twisted Poincare' symmetry and QFT on Moyal-Weyl spaces
- Twisting all the way: from Classical Mechanics to Quantum Fields
- Twisted Noncommutative Field Theory with the Wick-Voros and Moyal Products
- Twist Symmetry and Gauge Invariance
- Remarks on twisted noncommutative quantum field theory
- -Deformed Statistics and Classical Fourmomentum Addition Law
- Braided quantum field theories and their symmetries
- On the role of twisted statistics in the noncommutative degenerate electron gas
- Drinfel'd Twisted Superconformal Algebra and Structure of Unbroken Symmetries
- Duality and Braiding in Twisted Quantum Field Theory
- Domain wall solitons and Hopf algebraic translational symmetries in noncommutative field theories
- Spin-Statistics Violations in Superstring Theory
- The He-McKellar-Wilkens effect for spin one particles in non-commutative quantum mechanics
- Heat kernel of non-minimal gauge field kinetic operators on Moyal plane
- Wilson Loops and Area-Preserving Diffeomorphisms in Twisted Noncommutative Gauge Theory
- Noncommutative Geometry: Fuzzy Spaces, the Groenewold-Moyal Plane
- Quantum Space-Time and Noncommutative Gauge Field Theories