1998/08/31 by Shoichi Sasaki, O. Miyamura, Osamu Miyamura
Mathematics · Physics and Astronomy · #Abelian group #Charge (physics) #Combinatorics #Gauge (firearms) #Gauge theory #Lattice gauge theory #Magnetic monopole #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Topological quantum number #Topology (electrical circuits) #hep-lat
paper · pdf · doi:10.1016/s0920-5632(99)85132-9
published as Nucl.Phys.Proc.Suppl. 73 (1999) 545-547 · LATTICE98(confine), 3 pages, Latex, 3 figures included
arxiv created 1998/09/12 · openalex publication_date 1999/03/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the topological feature in the QCD vacuum based on the hypothesis of abelian dominance. The topological charge Q\rm SU(2) can be explicitly represented in terms of the monopole current in the abelian dominated system. To appreciate its justification, we directly measure the corresponding topological charge Q\rm Mono, which is reconstructed only from the monopole current and the abelian component of gauge fields, by using the Monte Carlo simulation on SU(2) lattice. We find that there exists a one-to-one correspondence between Q\rm SU(2) and Q\rm Mono in the maximally abelian gauge. Furthermore, Q\rm Mono is classified by approximately discrete values.