Biased Metropolis-Heat-Bath Algorithm for Fundamental-Adjoint SU(2) Lattice Gauge Theory

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.

arXiv comment4 pages, 2 figures; minor changes and one reference added; accepted for publication in PRD

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• SU(3) lattice gauge theory with a mixed fundamental and adjoint plaquette action: Lattice artefacts
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• Infrared conformality and bulk critical points: SU(2) with heavy adjoint quarks
• Deconfined SU(2) vector fields at zero temperature
• Deconfined SU(2) phase with a massive vector boson triplet
• Topological order and the vacuum of Yang-Mills theories
• Characterization of the inner edge of the neutron star crust
• RG decimation study of SU(2) gauge theory
• Scaling properties of SU(2) gauge theory with mixed fundamental-adjoint action
• General heatbath algorithm for pure lattice gauge theory