2005/09/30 by F. V. Gubarev, S. M. Morozov · 8 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Combinatorics #Computer science #Embedding #Gauge theory #Instanton #Lattice (music) #Lattice field theory #Lattice gauge theory #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Topological quantum number #Topology (electrical circuits) #hep-lat #hep-ph
paper · pdf · doi:10.1103/physrevd.72.076008
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 72(7) (American Physical Society) · revtex4, 19 pages (24 ps figures included); replaced to match the published version, to appear in PRD; minor changes, references added
arxiv created 2005/10/14 · openalex publication_date 2005/10/31 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We investigate SU(2) gauge fields topology using new approach, which exploits the well known connection between SU(2) gauge theory and quaternionic projective \ensuremathσ-models and allows to formulate the topological charge density entirely in terms of \ensuremathσ-model fields. The method is studied in details and for thermalized vacuum configurations is shown to be compatible with overlap-based definition. We confirm that the topological charge is distributed in localized four-dimensional regions which, however, are not compatible with instantons. Topological density bulk distribution is investigated at different lattice spacings and is shown to possess some universal properties.