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Performance of two-level sampling for the glueball spectrum in pure gauge theory

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arxiv 2312.11372 v1 pith:VQARU3KK submitted 2023-12-18 hep-lat

classification hep-lat
keywords spectrumgaugeglueballmultilevelpureratiosamplingsignal-to-noise
verification ladder T0 review T1 audit T2 compute T3 formal
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The computation of the glueball spectrum is particularly challenging due to the rapid decay of the signal-to-noise ratio of the correlation functions. To address this issue, advanced techniques such as gauge link smearing and the variational method are commonly employed to identify the spectrum before the signal diminishes significantly. However, a significant improvement in the signal-to-noise ratio can be achieved by utilising multilevel sampling techniques. In this talk, we present a study of the glueball spectrum in pure gauge theory with a two-level algorithm. Specifically, we explore the relation between noise reduction and the various multilevel parameters, such as the width of the dynamical regions and the number of submeasurements.

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  1. 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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