2004/10/31 by M. Daszkiewicz, Marcin Daszkiewicz, K. Imiłkowska +4 · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #General relativity #Homogeneous space #Mathematical physics #Mathematics #Minkowski space #Noncommutative and Quantum Gravity Theories #Physics #Quantum #Quantum gravity #Quantum mechanics #Scalar (mathematics) #Scalar field #Scalar field theory #Space time #Special relativity #Theoretical physics #Theory of relativity #hep-th
paper · pdf · doi:10.1142/s0217751x0502238x
published as Int.J.Mod.Phys. A20 (2005) 4925-4940 · 17 pages; some editing done, final version to be published in Int. J. Mod. Phys. A
arxiv created 2005/01/11 · openalex publication_date 2005/08/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this paper we recall the construction of scalar field action on κ-Minkowski space–time and investigate its properties. In particular we show how the coproduct of κ-Poincaré algebra of symmetries arises from the analysis of the symmetries of the action, expressed in terms of Fourier transformed fields. We also derive the action on commuting space–time, equivalent to the original one. Adding the self-interaction Φ 4 term we investigate the modified conservation laws. We show that the local interactions on κ-Minkowski space–time give rise to six inequivalent ways in which energy and momentum can be conserved at four-point vertex. We discuss the relevance of these results for Doubly Special Relativity.