Abstract
We obtain the dimensionally regularized primitively divergent diagrams for a scalar field model with quartic self-interaction and a kappa-deformed dispersion relation as a function of the complex dimension analytically continued to the neighborhood of all real dimensions. The result shows that the poles of those diagrams occur for odd dimensions in distinction to the poles at even dimensions of the non-deformed diagrams. Actually, the singular dimensions in the deformed case are shifted by one to the right in relation to the singular dimensions of the non-deformed case. This shifting of the poles appears as an effect of the deformation on the complex dimension plane of the dimensional regularization procedure.
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