1992/12/10 by K. Akemi, Ph. deForcrand, M. Fujisaki +12 · 7 citations
Mathematics · Physics and Astronomy · #Algorithm #Autocorrelation #Deconfinement #Divergence (linguistics) #High-Energy Particle Collisions Research #Lattice (music) #Mathematics #Monte Carlo method #Particle physics theoretical and experimental studies #Phase transition #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Statistical physics #Statistics #hep-lat
paper · pdf · doi:10.1016/0920-5632(93)90202-h
published in Nuclear Physics B - Proceedings Supplements 30, 253-256 (Elsevier BV) · 4 pages of A4 format including 6-figures
arxiv created 1992/12/10 · openalex publication_date 1993/03/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We measure the sweep-to-sweep autocorrelations of blocked loops below and above the deconfinement transition for SU(3) on a 164 lattice using 20000-140000 Monte-Carlo updating sweeps. A divergence of the autocorrelation time toward the critical β is seen at high blocking levels. The peak is near β = 6.33 where we observe 440 ± 210 for the autocorrelation time of 1× 1 Wilson loop on 24 blocked lattice. The mixing of 7 Brown-Woch overrelaxation steps followed by one pseudo-heat-bath step appears optimal to reduce the autocorrelation time below the critical β. Above the critical β, however, no clear difference between these two algorithms can be seen and the system decorrelates rather fast.