Jerzy Lukierski (Wroclaw):

Towards noncommutative κ-deformed field theory

Abstract:

The κ-deformation of local quantum free fields originates from two sources: noncommutativity of space-time (κ* product) and the κ-deformation of field oscillators algebra (κ-statistics). We introduce new κ-deformed algebra of field oscillators and we relate it with κ* product of space-time fields. We obtain as the field commutator the deformed Pauli-Jordan function, with κ-deformed mass-shell, which provides the model of κ-causal function. We show that in κ-Fock space one can introduce the basis describing n-particle states with fourmomenta added in accordance with classical Abelian addition law.

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