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On $κ$-Deformation and UV/IR Mixing

arXiv:hep-th/0507030 · doi:10.1016/j.nuclphysb.2006.05.004

Abstract

We examine the UV/IR mixing property on a $κ$-deformed Euclidean space for a real scalar $ϕ^4$ theory. All contributions to the tadpole diagram are explicitly calculated. UV/IR mixing is present, though in a different dressing than in the case of the canonical deformation.

15 pages; formula (2) corrected