Untwisting Noncommutative R^d and the Equivalence of Quantum Field Theories
By R. Oeckl. 2000
173 citations recorded by the source corpus.
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.
Subfields: Atomic and Molecular Physics, and Optics, Mathematical Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/c6667dbc9e714fdae9548f646062d8f2425d5f8b
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In Atomic and Molecular Physics, and Optics
In Mathematical Physics
In Statistical and Nonlinear Physics
Citations in the corpus
- Symmetry, gravity and noncommutativity (2006, methodology): “Extensions of the twisted Poincaré symmetry are described in [9, 10, 13, 84, 94, 99, 110].”