Topological Structure of Vortex Solution in Jackiw–Pi Model

2006/04/30 by Li Xi-Guo, Xiguo Lee, Liu Ziyu +8 · 3 citations
Mathematics · Physics and Astronomy · #Algorithm #Black Holes and Theoretical Physics #Chern–Simons theory #Combinatorics #Duality (order theory) #Gauge theory #Geometry #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Pi #Pure mathematics #Quantization (signal processing) #Quantum many-body systems #Quantum mechanics #Topological index #Topological quantum number #Topology (electrical circuits) #Vortex #hep-th

paper · pdf · doi:10.1088/0253-6102/48/1/029

published in Communications in Theoretical Physics 48(1), 143-146 (Institute of Physics) · 12 pages, 4 figures,Corrected typos

arxiv created 2006/11/05 · openalex publication_date 2007/07/01 · arxiv updated 2014/11/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

By using ϕ-mapping method, we discuss the topological structure of the self-duality solution in Jackiw–Pi model in terms of gauge potential decomposition. We set up relationship between Chern–Simons vortex solution and topological number, which is determined by Hopf index and Brouwer degree. We also give the quantization of flux in this case. Then, we study the angular momentum of the vortex, which can be expressed in terms of the flux.

Citations

• Vortex-line models for dual strings
• Quantum field theory and the Jones polynomial
• Equivalence of the resonating-valence-bond and fractional quantum Hall states
• 2 + 1 dimensional gravity as an exactly soluble system
• Characteristic Forms and Geometric Invariants
• Three-Dimensional Massive Gauge Theories
• Topologically massive gauge theories