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Hybrid Monte Carlo and topological modes of full QCD

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arxiv hep-lat/9607049 v2 pith:DYDAGFT7 submitted 1996-07-22 hep-lat

B. Allés , G. Boyd , M. D'Elia , A. Di Giacomo , E. Vicari This is my paper · ORCID
classification hep-lat
keywords carlohybridmontealgorithmtopologicalfullglobalapproximately
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abstract

We investigate the performance of the hybrid Monte Carlo algorithm, the standard algorithm used for lattice QCD simulations involving fermions, in updating non-trivial global topological structures. We find that the hybrid Monte Carlo algorithm has serious problems decorrelating the global topological charge at the values of $\beta$ and $m$ currently simulated, where continuum physics should be approximately realized. This represents a warning which must be seriously considered when simulating full QCD by hybrid Monte Carlo.

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Forward citations

Cited by 7 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Sampling the Schwinger Model with Gauge-Equivariant Diffusion

    hep-lat 2026-06 unverdicted novelty 7.0 of 10

    A gauge-equivariant diffusion model samples Schwinger model configurations, yielding unbiased observables matching MCMC and qualitatively less topological freezing than HMC.

  2. The large-$N$ Yang--Mills $\Lambda$-parameter from step scaling

    hep-lat 2026-07 conditional novelty 6.0 of 10

    First non-asymptotic-scaling determination of the large-N Yang-Mills Λ-parameter yields √(8t₀)Λ_MS(N=∞) = 0.639(36).

  3. Event-Chain Monte Carlo for Yang-Mills SU(N) lattice field theory I : Design and proof of concept

    hep-lat 2026-06 unverdicted novelty 6.0 of 10

    Event-Chain Monte Carlo is formulated and validated for SU(3) Yang-Mills lattice gauge theory, with mean plaquette values matching conventional Monte Carlo on four-dimensional lattices.

  4. Scaling flow-based approaches for topology sampling in $\mathrm{SU}(3)$ gauge theory

    hep-lat 2025-10 unverdicted novelty 6.0 of 10

    Out-of-equilibrium simulations with open-to-periodic boundary switching plus a tailored stochastic normalizing flow enable efficient topology sampling in the continuum limit of four-dimensional SU(3) Yang-Mills theory.

  5. Scale setting of $\mathrm{SU}(N)$ Yang-Mills theories via Twisted Gradient Flow

    hep-lat 2025-01 conditional novelty 5.0 of 10

    Using twisted boundary conditions and parallel tempering, the SU(5) gradient-flow scale sqrt(t0) is measured at three lattice spacings, with the topological freezing bias vanishing in the infinite-volume limit.

  6. Lattice techniques to investigate the strong $CP$ problem: lessons from a toy model

    hep-lat 2025-02 accept novelty 4.0 of 10

    In a quantum rotor with a topological term, the proposed order of limits predicts zero topological susceptibility, contradicting both the exact quantum mechanical result and lattice simulations.

  7. The imaginary-$\theta$ dependence of the SU($N$) spectrum

    hep-lat 2024-11 conditional novelty 4.0 of 10

    The theta-squared curvature of the SU(3) glueball mass and string tension is measured in the continuum, and the N=3 and N=6 data support the expected large-N 1/N^2 scaling.

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