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 explore some general consequences of a proper, full enforcement of the “twisted
Poincaré” covariance of Chaichian et al., Wess, Koch et al., and Oeckl upon many-particle …

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 study the second quantization of field theory on the q-deformed fuzzy sphere for q∈ R.
This is performed using a path integral over the modes, which generate a quasi-associative …

We study irreducible unitary representations of U q (SO (2, 1)) and U q (SO (2,¶ 3)) for qa
root of unity, which are finite dimensional. Among others, unitary representations …

By the application of the general twist-induced⋆-deformation procedure we translate second
quantization of a system of bosons/fermions on a symmetric spacetime into a …

We review recent results on twisted noncommutative quantum field theory by embedding it
into a general framework for the quantization of systems with a twisted symmetry. We …

Any deformation of a Weyl or Clifford algebra 𝒜 can be realized through a “deforming map,”
ie, a formal change of generators in 𝒜. This is true in particular if 𝒜 is covariant under a Lie …