Interacting scalar field theory in $κ$-Minkowski spacetime

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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14 pages, 6 figures

Scientific paper

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

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