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Twist and spin-statistics relation in noncommutative quantum field theory. (English) Zbl 1248.81262

Summary: 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.

MSC:

81T75 Noncommutative geometry methods in quantum field theory

References:

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