On $\kappa$-Deformation and UV/IR Mixing

Abstract

We examine the UV/IR mixing property on a $\kappa$-deformed Euclidean space for a real scalar ${\varphi }^4$ 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

References in corpus (4)

• Scalar field theory on $\kappa$-Minkowski space-time and Doubly Special Relativity
• Field theory on kappa-spacetime
• A symmetry invariant integral on kappa-deformed spacetime
• Action functional for kappa-Minkowski Noncommutative Spacetime

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