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Biased Metropolis-heat-bath algorithm for fundamental-adjoint SU(2) lattice gauge theory

2005/10/31 by Alexei Bazavov, Bernd A. Berg, Urs M. Heller · 15 citations
Mathematics · Physics and Astronomy · #Algorithm #Applied mathematics #Computer science #Gauge (firearms) #Gauge theory #High-Energy Particle Collisions Research #Lattice (music) #Lattice gauge theory #Materials science #Mathematical physics #Mathematics #Metropolis–Hastings algorithm #Monte Carlo method #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Range (aeronautics) #Statistical physics #Statistics #hep-lat

paper · pdf · doi:10.1103/physrevd.72.117501

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 72(11) (American Physical Society) · 4 pages, 2 figures; minor changes and one reference added; accepted for publication in PRD

arxiv created 2005/11/28 · openalex publication_date 2005/12/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

For SU(2) lattice gauge theory with the fundamental-adjoint action an efficient heat-bath algorithm is not known so that one had to rely on Metropolis simulations supplemented by overrelaxation. Implementing a novel biased Metropolis-heat-bath algorithm for this model, we find improvement factors in the range 1.45 to 2.06 over conventionally optimized Metropolis simulations. If one optimizes further with respect to additional overrelaxation sweeps, the improvement factors are found in the range 1.3 to 1.8.

Citations