Interacting scalar field theory in $κ$-Minkowski spacetime

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We construct an complex scalar field theory in $κ$-Minkowksi spacetime, which respects $κ$-deformed Poincaré symmetry. One-loop calculation shows that the theory is finite and needs finite renormalization to be compatible with the $κ\to \infty$ limit. The loop result also has an imaginary valued correction due to the complex poles present in the propagator.
14 pages, 6 figures

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