2015/03/31 by Irais Bautista, Wolfgang Bietenholz, Arthur Dromard +5 · 16 citations
Mathematics · Physics and Astronomy · #Abelian group #Autocorrelation #Charge (physics) #Combinatorics #Computer science #Gauge (firearms) #Gauge theory #Mathematical physics #Mathematics #Measure (data warehouse) #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum many-body systems #Quantum mechanics #Statistics #Theoretical and Computational Physics #Topological quantum number #Topology (electrical circuits) #cond-mat.stat-mech #hep-lat #hep-ph
paper · pdf · doi:10.1103/physrevd.92.114510
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 92(11) (American Physical Society) · 28 pages, LaTex, 13 figures, 3 tables, new results for 2d U(1) and 4d SU(2) gauge theory. Final version to be published in Phys. Rev. D
arxiv created 2015/11/24 · openalex publication_date 2015/12/22 · arxiv updated 2015/12/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
For field theories with a topological charge Q, it is often of interest to measure the topological susceptibility \ensuremathχt=(⟨Q2⟩\ensuremath-⟨Q⟩2)/V. If we manage to perform a Monte Carlo simulation where Q changes frequently, \ensuremathχt can be evaluated directly. However, for local update algorithms and fine lattices, the autocorrelation time with respect to Q tends to be extremely long, which invalidates the direct approach. Nevertheless, the measurement of \ensuremathχt is still feasible, even when the entire Markov chain is topologically frozen. We test a method for this purpose, based on the correlation of the topological charge density, as suggested by Aoki, Fukaya, Hashimoto and Onogi. Our studies in nonlinear \ensuremathσ-models and in two-dimensional Abelian gauge theory yield accurate results for \ensuremathχt, which confirm that the method is applicable. We also obtain promising results in four-dimensional SU(2) Yang-Mills theory, which suggest the applicability of this method in QCD.