Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-04-08
J.Phys.A43:105402,2010
Physics
High Energy Physics
High Energy Physics - Theory
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.
Cougo-Pinto M. V.
de Carvalho Carlos A. A.
Farina Carlos
Neves Mario J.
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