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Advances in algorithms for solvers and gauge generation

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arxiv 2401.16620 v1 pith:OCNFIKJO submitted 2024-01-29 hep-lat

Advances in algorithms for solvers and gauge generation

classification hep-lat
keywords algorithmsadvancessolversapproachesconsiderationgaugegenerationgiven
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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I review recent research and advances in algorithms for solvers and gauge generation, with an emphasis on practical algorithms for four dimensional simulations. Particular consideration is given to advances in multigrid solvers, fourier acceleration and field transformation approaches to accelerating evolution dynamics, and to parallel tempering approaches to solving the topological tunneling problem. Particular consideration is given to the interaction between rapidly evolving computer architecture and optimal algorithms that exploit these. In this conference, nascent machine learning algorithms were separately reviewed

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Cited by 3 Pith papers

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

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    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. 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.