Noncommutative Field Theory from twisted Fock space
arXiv:hep-th/0603251 · doi:10.1103/PhysRevD.73.125001
Abstract
We construct a quantum field theory in noncommutative spacetime by twisting the algebra of quantum operators (especially, creation and annihilation operators) of the corresponding quantum field theory in commutative spacetime. The twisted Fock space and S-matrix consistent with this algebra have been constructed. The resultant S-matrix is consistent with that of Filk\cite{Filk}. We find from this formulation that the spin-statistics relation is not violated in the canonical noncommutative field theories.
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- Duality and Braiding in Twisted Quantum Field Theory
- Noncommutative Quantization for Noncommutative Field Theory
- Domain wall solitons and Hopf algebraic translational symmetries in noncommutative field theories
- On Charge Conservation and The Equivalence Principle in the Noncommutative Spacetime
- On the Correspondence between Poincaré Symmetry of Commutative QFT and Twisted Poincaré Symmetry of Noncommutative QFT