In this paper we recall the construction of doubly special relativity (DSR) as a theory with
energy–momentum space being the four-dimensional de Sitter space. Then the bases of the …

We show that, in general, a spacetime having a quantum group symmetry has also a scale-
dependent fractal dimension which deviates from its classical value at short scales, a …

We introduce a new κ-star product describing the multiplication of quantized κ-deformed free
fields. The κ deformation of local free quantum fields originates from two sources …

This paper is devoted to detailed investigations of free scalar field theory on κ-Minkowski
space. After reviewing necessary mathematical tools, we discuss in detail the Lagrangian …

A Snyder model generated by the noncommutative coordinates and Lorentz generators
closes a Lie algebra. The application of the Heisenberg double construction is investigated …

We consider κ-deformed relativistic symmetries described algebraically by modified Majid–
Ruegg bi-cross-product basis and investigate the quantization of field oscillators for the κ …

We describe the generalized κ-deformations of D= 4 relativistic symmetries with finite
masslike deformation parameter κ and an arbitrary direction in κ-deformed Minkowski space …

In this paper we recall the construction of scalar field action on κ-Minkowski space–time and
investigate its properties. In particular we show how the coproduct of κ-Poincaré algebra of …

We propose new noncommutative (NC) models of quantum phase spaces, containing a pair
of $\kappa $-deformed Poincar\'e algebras, with two independent $\kappa $ and $\tilde …

arXiv:0712.0350v1 [hep-th] 3 Dec 2007 Page 1 arXiv:0712.0350v1 [hep-th] 3 Dec 2007
QUANTIZATION OF κ-DEFORMED FREE FIELDS AND κ-DEFORMED OSCILLATORS Marcin …