1999/02/28 by Piotr Kosiński, P. Kosiński, J. Lukierski +2 · 4 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Combinatorics #Cosmology and Gravitation Theories #Geometry #Graph #Lambda #Mathematical physics #Mathematics #Minkowski space #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #Scalar (mathematics) #Scalar field #Vertex (graph theory) #hep-th
paper · pdf · doi:10.1103/physrevd.62.025004
published as Phys.Rev.D62:025004,2000 · revtex, 2 figures.The text has been enlarged by two pages, mostly the explicite description of local scalar field on $kappa$-deformed Minkowski space has been extended. One figure added
arxiv created 1999/07/16 · openalex publication_date 2000/06/16 · openalex created_date 2016/06/24 · arxiv updated 2016/08/14 · openalex updated_date 2026/08/05
We describe the local D=4 field theory on \ensuremathκ-deformed Minkowski space as a nonlocal relativistic field theory on standard Minkowski space-time. For simplicity the case of a \ensuremathκ-deformed scalar field \ensuremathφ with the interaction \ensuremathλ\ensuremathφ4 is considered, and the \ensuremathκ-deformed interaction vertex is described. It appears that the fundamental mass parameter \ensuremathκ plays the role of regularizing the imaginary Pauli-Villars mass in the \ensuremathκ-deformed propagator.