Towards quantum noncommutative κ-deformed field theory

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: noncommutativity of space-time and the κ deformation of field oscillators algebra; we relate these two deformations. We demonstrate that for a suitable choice of κ-deformed field oscillators algebra, the κ-deformed version of the microcausality condition is satisfied, and it leads to the deformation of the Pauli-Jordan commutation function defined by the κ-deformed mass shell. We show by constructing the κ-deformed Fock space that the use of the κ-deformed oscillator algebra permits one to preserve the bosonic statistics of n-particle states. The proposed star product is extended to the product of n fields, which for n=4 defines the interaction vertex in perturbative description of the noncommutative quantum λφ4 field theory. It appears that the classical four-momentum conservation law is satisfied at the interaction vertices