Local D=4 Field Theory on $κ$--Deformed Minkowski Space

Abstract

We describe the local D=4 field theory on $κ$--deformed Minkowski space as nonlocal relativistic field theory on standard Minkowski space--time. For simplicity the case of $κ$-deformed scalar field $ϕ$ with the interaction $λϕ^{4}$ is considered, and the $κ$--deformed interaction vertex is described. It appears that fundamental mass parameter $κ$ plays a role of regularizing imaginary Pauli--Villars mass in $κ$--deformed propagator.