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A new lattice action for studying topological charge

1996/04/12 by Pilar Hernández, Pilar Hernandez, Raman Sundrum
Physics and Astronomy · #Black Holes and Theoretical Physics #Computation #Covariant transformation #Instanton #Lattice (music) #Lattice field theory #Lattice gauge theory #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Scaling #Topological quantum number #Toric code #hep-lat

paper · pdf · doi:10.1016/0370-2693(96)00838-6

published as Phys.Lett.B385:254-260,1996 · 12 pages, LateX, 1 figure

arxiv created 1996/04/12 · openalex publication_date 1996/09/01 · arxiv updated 2009/12/01 · openalex created_date 2017/01/13 · openalex updated_date 2026/08/05

Abstract

We propose a new lattice action for non-abelian gauge theories, which will reduce short-range lattice artifacts in the computation of the topological susceptibility. The standard Wilson action is replaced by the Wilson action of a gauge covariant interpolation of the original fields to a finer lattice. If the latter is fine enough, the action of all configurations with non-zero topological charge will satisfy the continuum bound. As a simpler example we consider the O(3) σ-model in two dimensions, where a numerical analysis of discretized continuum instantons indicates that a finer lattice with half the lattice spacing of the original is enough to satisfy the continuum bound.

Citations