Local $D=4\mathrm{}$ field theory on $\kappa$-deformed Minkowski space

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