Fock space, quantum fields, andκ-Poincaré symmetries

Abstract

We study the quantization of a linear scalar field, whose symmetries are described by the {kappa}-Poincare Hopf algebra, via deformed Fock space construction. The one-particle sector of the theory exhibits a natural (Planckian) cutoff for the modes of the field. At the ''multiparticle'' level the nontrivial coalgebra structure of {kappa}-Poincare leads to a deformed bosonization in the construction of Fock space states. These physical states carry energy-momentum charges which are divergenceless and obey a deformed dispersion relation.