Non-commutative Soliton Scattering
arXiv:hep-th/0008108 · doi:10.1088/1126-6708/2000/12/004
Abstract
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.
14 pages, 1 figure; references, acknowledgement, and note added, typos corrected
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- Noncommutative Field Theory
- Introduction to M(atrix) theory and noncommutative geometry, Part II
- Introduction to M(atrix) theory and noncommutative geometry
- On Noncommutative Solitons
- Defect Structures in Lorentz and CPT Violating Scenarios
- Deformed defects for scalar fields with polynomial interactions
- Noncommutative Solitons: Moduli Spaces, Quantization, Finite Theta Effects and Stability
- Moduli Space and Scattering of D0-Branes in Noncommutative Super Yang-Mills Theory
- Low-Energy Dynamics of Noncommutative CP^1 Solitons in 2+1 Dimensions
- Noncommutative scalar solitons: existence and nonexistence
- The Existence and Stability of Noncommutative Scalar Solitons
- Moduli-Space Dynamics of Noncommutative Abelian Sigma-Model Solitons
- Non-BPS Solutions of the Noncommutative CP^1 Model in 2+1 Dimensions
- Noncommutative solitons on Kahler manifolds
- The Moduli Space of Noncommutative Vortices
- A note on the decay of noncommutative solitons
- Global Defects In Theories With Lorentz Symmetry Violation
- Scalar Multi-Solitons on the Fuzzy Sphere
- Scattering of Noncommutative (n,1) Solitons
- Time dependent solitons of noncommutative Chern-Simons theory coupled to scalar fields
- Scalar Solitons on the Fuzzy Sphere
- Reverse Engineering ADHM Construction from Non-Commutative Instantons
- Noncommutative waves have infinite propagation speed
- A note on noncommutative scalar multisolitons
- Noncommutative Solitons
- Supersymmetric Models and Collider Signatures
- Vortex Scattering and Intercommuting Cosmic Strings on a Noncommutative Spacetime
- On the Moduli Space of Noncommutative Multi-solitons at Finite Theta
- Chern-Simons Solitons, Chiral Model, and (affine) Toda Model on Noncommutative Space