Twist and Spin-Statistics Relation in Noncommutative Quantum Field Theory
Anca Tureanu
TL;DR
This paper examines the twist-deformation of Poincaré algebra in noncommutative quantum field theories, clarifying misconceptions about spin-statistics violations and UV/IR mixing, and establishing a consistent theoretical framework.
Contribution
It demonstrates that claims of spin-statistics violation and absence of UV/IR mixing in noncommutative field theories are unfounded, clarifying the role of twist-deformation.
Findings
No violation of Pauli's spin-statistics relation.
UV/IR mixing is present as expected.
The twist approach aligns with proper quantization methods.
Abstract
The twist-deformation of the Poincar\'e 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.
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