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Graph neural networks model gauge structures in lattice gauge theories

Researchers have developed a novel gauge-invariant graph neural network (GNN) architecture designed to handle Abelian lattice gauge models. This GNN explicitly enforces symmetry using local gauge-invariant inputs like Wilson loops, preserving it throughout the message-passing process. The approach has been successfully benchmarked on $\mathbb{Z}_2$ and $\mathrm{U}(1)$ lattice gauge models, demonstrating accurate predictions for global and spatially resolved observables. AI

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IMPACT Introduces a new GNN architecture for simulating complex physical systems, potentially enabling more efficient and scalable time evolution in quantum link models.

RANK_REASON Academic paper detailing a new GNN architecture for lattice gauge theories.

Read on arXiv cs.LG →

COVERAGE [2]

  1. arXiv cs.LG TIER_1 · Ali Rayat, Gia-Wei Chern ·

    Graph Neural Networks in the Wilson Loop Representation of Abelian Lattice Gauge Theories

    arXiv:2605.03901v1 Announce Type: cross Abstract: Local gauge structures play a central role in a wide range of condensed matter systems and synthetic quantum platforms, where they emerge as effective descriptions of strongly correlated phases and engineered dynamics. We introduc…

  2. arXiv cs.LG TIER_1 · Gia-Wei Chern ·

    Graph Neural Networks in the Wilson Loop Representation of Abelian Lattice Gauge Theories

    Local gauge structures play a central role in a wide range of condensed matter systems and synthetic quantum platforms, where they emerge as effective descriptions of strongly correlated phases and engineered dynamics. We introduce a gauge-invariant graph neural network (GNN) arc…