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Gauge covariant neural network for quarks and gluons

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arxiv 2103.11965 v3 pith:BDSHTPM6 submitted 2021-03-22 hep-lat cond-mat.dis-nnhep-th

Gauge covariant neural network for quarks and gluons

classification hep-lat cond-mat.dis-nnhep-th
keywords neuralnetworksalgorithmcarlogluonshybridmontequarks
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We propose gauge-covariant neural networks along with a specialized training algorithm for lattice QCD, designed to handle realistic quarks and gluons in four-dimensional space-time. We show that the smearing procedure can be interpreted as an extended version of residual neural networks with fixed parameters. To demonstrate the applicability of our neural networks, we develop a self-learning hybrid Monte Carlo algorithm in the context of two-color QCD, yielding outcomes consistent with those from the conventional Hybrid Monte Carlo approach.

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Forward citations

Cited by 3 Pith papers

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

  1. Neural network interpolators for Wilson loops

    hep-lat 2026-04 unverdicted novelty 7.0

    Neural networks parametrize gauge-equivariant trial states for Wilson loops and automatically yield interpolators for ground and excited states in quenched lattice QCD.

  2. First steps towards gauge-independent vortex identification through machine learning

    hep-lat 2026-05 unverdicted novelty 6.0

    A neural network trained on 2D SU(2) lattices with inserted thin Z2 vortices, after random gauge transformations, noise, and cooling, can locate center vortices at moderate visibility levels and scales via tiling.

  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.