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Dynamics in Hamiltonian Lattice Gauge Theory: Approaching the Continuum Limit with Partitionings of SU$(2)$

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arxiv 2503.03397 v1 pith:ZAB3F32U submitted 2025-03-05 hep-lat quant-ph

classification hep-latquant-ph
keywords gaugehamiltonianlatticelimitpartitioningssystemtheoryapproached
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

In this paper, we investigate a digitised SU$(2)$ lattice gauge theory in the Hamiltonian formalism. We use partitionings to digitise the gauge degrees of freedom and show how to define a penalty term based on finite element methods to project onto physical states of the system. Moreover, we show for a single plaquette system that in this framework the limit $g\to0$ can be approached at constant cost.

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Cited by 3 Pith papers

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

  1. Scaling and Luescher Term in a non-Abelian (2+1)d SU$(2)$ Quantum Link Model

    hep-lat 2026-02 conditional novelty 6.0 of 10

    In an SU(2) quantum link model on a hexagonal lattice, the static quark potential shows a coupling-dependent Lüscher term and logarithmically growing string width, indicating a rough confining string with no continuum limit.

  2. Efficient Trotter-Suzuki Schemes for Long-time Quantum Dynamics

    quant-ph 2026-01 conditional novelty 6.0 of 10

    New numerically optimized fourth- and sixth-order Trotter-Suzuki schemes outperform previously known decompositions in tests on the Heisenberg model and the quantum harmonic oscillator.

  3. Reducing the Gate Count with Efficient Trotter-Suzuki Schemes

    hep-lat 2026-02 conditional novelty 5.0 of 10

    Recommended order-4 and order-6 Trotter-Suzuki schemes reduce the computational cost needed to reach a target accuracy on the Heisenberg XXZ model compared with standard schemes.

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