Primitively divergent diagrams in $κ$-deformed scalar field with quartic self-interaction

Physics – High Energy Physics – High Energy Physics - Theory

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Scientific paper

10.1088/1751-8113/43/10/105402

We obtain the primitively divergent diagrams in $\kappa$-deformed scalar field in four-dimensional spacetime with quartic self-interaction in order to investigate the effect of the fundamental length $q=1/(2\kappa)$ on such diagrams. Thanks to $\kappa$-deformation, we find that the dimensionally regularized forms of the diagrams lead to finite results in the limit of space-time dimension four. The effect of the deformation appears as a displacement of the poles in the complex plane.

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