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Topological charge unfreezing with AMReX

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arxiv 2312.11599 v1 pith:WTPXQGJ5 submitted 2023-12-18 hep-lat

Topological charge unfreezing with AMReX

classification hep-lat
keywords topologicalcoarseninggaugelatticeperiodsphysicalpreservingtime
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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A new approach to the problem of topological freezing in gauge theories is introduced in which a physical volume preserving coarsening of the lattice induces sufficient energy variation in the Hamiltonian to overcome large topological barriers. Though the process is not reversible, the physical volume preserving aspect minimises the time spent rethermalisating the lattice after coarsening periods, which we then treat as a new ensemble disjoint from previous runs. We have tested this technique on the pure gauge 2D Schwinger model and find that topological sampling rates are improved. We also demonstrate that autocorrelation times for extensive observables are restored to their pre-coarsening values after coarsening periods over a acceptably short simulation time.

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Cited by 2 Pith papers

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  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. Topological Susceptibility and QCD at Finite Theta Angle

    hep-lat 2026-04 unverdicted novelty 1.0

    A pedagogical review summarizing analytic predictions and recent lattice results for theta-dependence and topological susceptibility in QCD.