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Mitigating topological freezing using out-of-equilibrium simulations

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arxiv 2402.06561 v2 pith:EOP6LJQC submitted 2024-02-09 hep-lat cond-mat.stat-mechhep-th

Mitigating topological freezing using out-of-equilibrium simulations

classification hep-lat cond-mat.stat-mechhep-th
keywords carlofreezingmonteout-of-equilibriumsimulationstopologicaladoptingapplications
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Motivated by the recently-established connection between Jarzynski's equality and the theoretical framework of Stochastic Normalizing Flows, we investigate a protocol relying on out-of-equilibrium lattice Monte Carlo simulations to mitigate the infamous computational problem of topological freezing. We test our proposal on $2d$ $\mathrm{CP}^{N-1}$ models and compare our results with those obtained adopting the Parallel Tempering on Boundary Conditions proposed by M. Hasenbusch, obtaining comparable performances. Our work thus sets the stage for future applications combining our Monte Carlo setup with machine learning techniques.

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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. 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.

  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. Machine learning for four-dimensional SU(3) lattice gauge theories

    hep-lat 2026-04 unverdicted novelty 3.0

    Machine learning generative models and renormalization-group neural networks are used to enhance gauge field sampling and learn fixed-point actions in 4D SU(3) lattice gauge theories, with presented scaling results to...