Untwisting Noncommutative R^d and the Equivalence of Quantum Field Theories

Details Untwisting Noncommutative R^d and the Equivalence of Quantum Field Theories Untwisting Noncommutative R^d and the Equivalence of Quantum Field Theories

2000-03-02

arxiv.org/abs/hep-th/0003018v2

Nucl.Phys. B581 (2000) 559-574

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, LaTeX with AMS and XY-Pic macros; references added

Scientific paper

10.1016/S0550-3213(00)00281-9

We show that there is a duality exchanging noncommutativity and non-trivial statistics for quantum field theory on R^d. Employing methods of quantum groups, we observe that ordinary and noncommutative R^d are related by twisting. We extend the twist to an equivalence for quantum field theory using the framework of braided quantum field theory. The twist exchanges both commutativity with noncommutativity and ordinary with non-trivial statistics. The same holds for the noncommutative torus.

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