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Parallel Tempered Metadynamics

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arxiv 2503.09747 v2 pith:FPK7FRW5 submitted 2025-03-12 hep-lat

Parallel Tempered Metadynamics

Timo Eichhorn , Gianluca Fuwa , Christian Hoelbling , Lukas Varnhorst This is my paper
classification hep-lat
keywords algorithmscriticaldownmetadynamicsotherparallelsectorssimulations
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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When approaching the continuum limit in lattice QCD or other theories in a setup with topological sectors, conventional update algorithms experience a particularly severe form of critical slowing down that is caused by high action barriers between the sectors. The qualitative scaling behavior of this critical slowing down appears to be universal across different update algorithms and (gauge) actions. We demonstrate that a combination of Metadynamics with parallel tempering, along with other modifications, can significantly reduce autocorrelation times while avoiding the need for reweighting. We also discuss strategies to extend the methods to QCD simulations with dynamical fermions, and present first results for $N_f = 2$ simulations at unphysical pion masses.

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Cited by 3 Pith papers

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

  1. 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

    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.

  2. 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).

  3. 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.