2000/05/23 by Toyohiro Tsurumaru, Izumi Tsutsui, Akira Fujii · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-th
paper · pdf · doi:10.1016/s0550-3213(00)00538-1
published as Nucl.Phys. B589 (2000) 659-668 · Tex, 12 pages, 3 figures (eps), references added
arxiv created 2000/05/23 · openalex publication_date 2000/11/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study how instantons arise in the low energy effective theory of the SU(2) Yang-Mills theory in the context of the non-linear sigma model recently propose by Faddeev and Niemi. We find a simple relation between the instanton number ν and the charge m of the monopole that appears in the effective theory. It is given by ν= m Φ/(2π), where Φ is the quantized flux associated with a U(1) gauge field passing through the loop formed by the singularity of the monopole.