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Domain decomposition, multi-level integration and exponential noise reduction in lattice QCD

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arxiv 1601.04587 v1 pith:7GHX5DEW submitted 2016-01-18 hep-lat

Marco Cè , Leonardo Giusti , Stefan Schaefer This is my paper · ORCID
classification hep-lat
keywords integrationmulti-levelcomputingdecompositiondependencedomainexponentiallattice
verification ladder T0 review T1 audit T2 compute T3 formal
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We explore the possibility of computing fermionic correlators on the lattice by combining a domain decomposition with a multi-level integration scheme. The quark propagator is expanded in series of terms with a well defined hierarchical structure. The higher the order of a term, the (exponentially) smaller its magnitude, the less local is its dependence on the gauge field. Once inserted in a Wick contraction, the gauge-field dependence of the terms in the resulting series can be factorized so that it is suitable for multi-level Monte Carlo integration. We test the strategy in quenched QCD by computing the disconnected correlator of two flavor-diagonal pseudoscalar densities, and a nucleon two-point function. In either cases we observe a significant exponential increase of the signal-to-noise ratio.

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Cited by 3 Pith papers

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    Derives analytic integral-transform formulae to extract continuum and smeared spectral densities from Euclidean correlators, with O(a^2) lattice convergence and rigorous bounds for finite-volume effects.

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    quant-ph 2025-12 conditional novelty 6.0 of 10

    A quantum simulation framework is developed and demonstrated for energy loss and hadronization of a heavy quark in 1+1D SU(2) lattice gauge theory on 18 qubits of IBM hardware, with results matching classical simulations.

  3. Update on two-level sampling for glueball observables in quenched QCD

    hep-lat 2025-01 conditional novelty 6.0 of 10

    Combining distillation with two-level sampling reduces the statistical error of disconnected diagrams in quenched QCD, with variance scaling as 1/N1^2 when the quark loops are in different regions.

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