The Groenewold–Moyal plane is the algebra of functions on ℝd+ 1 with the*-product as the
multiplication law, and the commutator between the coordinate functions. Chaichian et al. 1 …

We give an introductory review of quantum physics on the noncommutative space–time
called the Groenewold–Moyal plane. Basic ideas like star products, twisted statistics, second …

We discuss the effects that a noncommutative geometry induced by a Drinfeld twist has on
physical theories. We systematically deform all products and symmetries of the theory. We …

We present a comparison of the noncommutative field theories built using two different star
products: Moyal and Wick-Voros (or normally ordered). For the latter we discuss both the …

We establish the existence of a quasi-Hopf algebraic structure underlying the Leigh–
Strassler superconformal marginal deformations of the super-Yang–Mills theory. The scalar …

We study the consequences of twisting the Poincaré invariance in a quantum field theory.
First, we construct a Fock space compatible with the twisting and the corresponding creation …

arXiv:hep-th/9611144v1 19 Nov 1996 Page 1 arXiv:hep-th/9611144v1 19 Nov 1996 July 1996,
rev. Nov. 1996 LMU-TPW 96-17 On Bose-Fermi Statistics, Quantum Group Symmetry, and …

We consider noncommutative geometries obtained from a triangular Drinfeld twist. This
allows us to construct and study a wide class of noncommutative manifolds and their …

Some problems related to an algebraic approach to quantum statistics are discussed.
Quantum statistics is described as a result of interactions. The Fock space representation is …

We re-examine various issues surrounding the definition of twisted quantum field theories
on flat noncommutative spaces. We propose an interpretation based on nonlocal …