Ultraviolet Finiteness of the averaged Hamiltonian on the noncommutative Minkowski space

2004/05/25 by Dorothea Bahns, Bahns, Dorothea · 1 citation
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0405224

arxiv created 2004/05/25 · openalex publication_date 2004/05/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It is shown that the Hamiltonian approach for a ϕ³-interaction on the 4-dimensional noncommutative Minkowski space leads to an ultraviolet finite S-matrix if the noncommutativity is averaged at each vertex.

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• Noncommutative (supersymmetric) electrodynamics in the Yang-Feldman formalism

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