2007/12/11 by H. Komaie-Moghaddam, Haniyeh Komaie-Moghaddam, Amir H. Fatollahi +3
Mathematics · Physics and Astronomy · #Amplitude #Black Holes and Theoretical Physics #Computer science #Cosmology and Gravitation Theories #Field (mathematics) #Field theory (psychology) #Geometry #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Observable #Physics #Pure mathematics #Quantum #Quantum gravity #Quantum mechanics #Scalar (mathematics) #Scalar field #Scalar field theory #Scalar multiplication #Space (punctuation) #Special unitary group #Theoretical physics #hep-th
paper · pdf · doi:10.1140/epjc/s10052-007-0484-3
published as Eur.Phys.J.C53:679-688,2008 · 20 pages, no figs, LaTeX, to appear in EPJ-C
arxiv created 2007/12/11 · openalex publication_date 2007/12/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The structure of transition amplitudes in field theory in a three-dimensional space whose spatial coordinates are noncommutative and satisfy the SU(2) Lie algebra commutation relations is examined. In particular, the basic notions for constructing the observables of the theory as well as subtleties related to the proper treatment of δ distributions (corresponding to conservation laws) are introduced. Explicit examples are given for scalar field theory amplitudes in the lowest order of perturbation.