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Full QCD with milder topological freezing

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arxiv 2404.14151 v2 pith:5XN76O3C submitted 2024-04-22 hep-lat

Full QCD with milder topological freezing

classification hep-lat
keywords algorithmboundaryconditionsfreezinglatticemathrmparallelsimulations
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We simulate $N_f=2+1$ QCD at the physical point combining open and periodic boundary conditions in a parallel tempering framework, following the original proposal by M. Hasenbusch for $2d$ $\mathrm{CP}^{N-1}$ models, which has been recently implemented and widely employed in $4d$ $\mathrm{SU}(N)$ pure Yang-Mills theories too. We show that using this algorithm it is possible to achieve a sizable reduction of the auto-correlation time of the topological charge in dynamical fermions simulations both at zero and finite temperature, allowing to avoid topology freezing down to lattice spacings as fine as $a \sim 0.02$ fm. Therefore, this implementation of the Parallel Tempering on Boundary Conditions algorithm has the potential to substantially push forward the investigation of the QCD vacuum properties by means of lattice simulations.

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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.

  1. The topological susceptibility slope $\chi^\prime$ in the large-$N$ limit

    hep-lat 2026-06 unverdicted novelty 8.0

    First non-perturbative lattice determination of the Yang-Mills topological susceptibility slope χ' in the large-N limit using a novel algorithm to avoid topological freezing.

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

    hep-lat 2026-07 conditional novelty 6.0

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

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

    hep-lat 2025-10 unverdicted novelty 6.0

    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.

  4. Parallel Tempered Metadynamics for full QCD

    hep-lat 2026-07 conditional novelty 5.0

    In N_f=2 staggered QCD at beta=1.15, PT-MetaD tunnels between topological sectors while RHMC remains frozen, yielding chi_top V = 0.127(33).

  5. Enhanced Sampling Techniques for Lattice Gauge Theory

    hep-lat 2026-04 unverdicted novelty 5.0

    Metadynamics bias potentials and volume-extrapolation strategies reduce integrated autocorrelation times of topological charge in lattice gauge theories.

  6. Scale setting of SU($N$) Yang--Mills theory, topology and large-$N$ volume independence

    hep-lat 2025-11 unverdicted novelty 5.0

    Gradient-flow scales are set for SU(3), SU(5), SU(8) and large-N Yang-Mills down to 0.025 fm using twisted volume reduction and topology-taming algorithms.

  7. FLAG Review 2024

    hep-lat 2024-11 accept novelty 2.0

    The FLAG 2024 review provides updated averages of lattice QCD determinations for quark masses, decay constants, form factors, mixing parameters, and nucleon matrix elements.