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A multilevel algorithm for flow observables in gauge theories

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arxiv 1601.07155 v2 pith:35QR4XKO submitted 2016-01-26 hep-lat

A multilevel algorithm for flow observables in gauge theories

classification hep-lat
keywords correlationflowfunctionsmultilevelobservablesactionalgorithmalgorithms
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study the possibility of using multilevel algorithms for the computation of correlation functions of gradient flow observables. For each point in the correlation function an approximate flow is defined which depends only on links in a subset of the lattice. Together with a local action this allows for independent updates and consequently a convergence of the Monte Carlo process faster than the inverse square root of the number of measurements. We demonstrate the feasibility of this idea in the correlation functions of the topological charge and the energy density.

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  1. Variance reduction strategies for lattice QCD

    hep-lat 2026-05 unverdicted novelty 2.0

    Variance reduction schemes based on decompositions of quark propagators have proven useful for precision lattice QCD observables and may help reduce the computational cost of reaching large volumes.