2000/08/31 by Ulf Lindström, Ulf Lindstrom, M. Roček +2 · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Commutative property #Conical surface #Cosmology and Gravitation Theories #Geodesic #Geometry #Mathematical analysis #Mathematical physics #Metric (unit) #Moduli #Moduli space #Noncommutative and Quantum Gravity Theories #Nonlinear system #Parameter space #Physics #Pure mathematics #Quantum gravity #Quantum mechanics #Scalar (mathematics) #Scalar field #Scalar field theory #Scattering #Singularity #Soliton #Space (punctuation) #hep-th
paper · pdf · doi:10.1088/1126-6708/2000/12/004
published as JHEP 0012 (2000) 004 · 14 pages, 1 figure; references, acknowledgement, and note added, typos corrected
arxiv created 2000/11/20 · openalex publication_date 2000/12/04 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study solitons in three dimensional non-commutative scalar field theory at infinite non-commutativity parameter. We find the metric on the relative moduli space of all solitons of the form |n><n| and show that it is Kahler. We then find the geodesics of this metric and study the scattering of these solitons. In particular we find that the scattering is generally right angle for small values of the impact parameter. We can understand this behaviour in terms of a conical singularity at the origin of moduli space.