2001/12/19 by Sundance Bilson-Thompson, S. Bilson-Thompson, F. D. R. Bonnet +5 · 14 citations
Mathematics · Physics and Astronomy · #Approx #Black Holes and Theoretical Physics #Charge (physics) #Combinatorics #Computer science #Discretization #Geometry #Instanton #Lattice (music) #Mathematical analysis #Mathematical physics #Mathematics #Physics #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Theoretical physics #Topological quantum number #Topology (electrical circuits) #Toric code #Torus #hep-lat
paper · pdf · doi:10.1016/s0920-5632(02)01399-3
published in Nuclear Physics B - Proceedings Supplements 109(1), 116-120 (Elsevier BV) · 5 pages, 4 figures, talk presented at the workshop on Lattice Hadron Physics, Cairns Australia, July 2001
arxiv created 2001/12/19 · openalex publication_date 2002/05/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The dynamics of instantons and anti-instantons in lattice QCD can be studied by analysing the action and topological charge of configurations as they approach a self-dual or anti-self-dual state, i.e. a state in which S/S0=|Q|. We use cooling to reveal the semi-classical structure of the configurations we study. Improved actions which eliminate discretization errors up to and including O(a4) are used to stabilise instantons as we cool for several thousand sweeps. An analogously improved lattice version of the continuum field-strength tensor is used to construct a topological charge free from O(a4) discretization errors. Values of the action and topological charge obtained with these improved operators approach mutually-consistent integer values to within a few parts in 104 after several hundred cooling sweeps. Analysis of configurations with |Q| ≈ 1 and |Q| ≈ 2 supports the hypothesis that a self-dual |Q|=1 configuration cannot exist on the 4-torus.