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

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arxiv hep-th/0507030 v2 pith:C5RRFJYA submitted 2005-07-04 hep-th

Harald Grosse , Michael Wohlgenannt This is my paper · ORCID
classification hep-th
keywords mixingdeformationkappacalculatedcanonicalcasecontributionsdeformed
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abstract

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

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. UV/IR mixing as an artifact of non-covariant quantisation

    hep-th 2026-06 unverdicted novelty 7.0 of 10

    UV/IR mixing in noncommutative scalar field theories is shown to be an artifact of a non-covariant quantization choice rather than an intrinsic feature of noncommutativity.

  2. Modified Mukhanov-Sasaki equation and primordial perturbations in $\kappa$-deformed non-commutative space-time

    gr-qc 2026-07 reject novelty 5.0 of 10

    A κ-deformed star product modifies the inflationary perturbation equation, yielding a (ln k)^2 correction to the power spectrum and a claimed ACT DR6 bound on the deformation length.

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