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Exploiting stochastic locality in lattice QCD: hadronic observables and their uncertainties

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arxiv 2307.15674 v2 pith:AHVPCP2O submitted 2023-07-28 hep-lat

Mattia Bruno , Marco Cè , Anthony Francis , Patrick Fritzsch , Jeremy R. Green , Maxwell T. Hansen , Antonio Rago This is my paper · ORCID
classification hep-lat
keywords latticesamplescaseexploitingfieldgaugehadroniclocality
verification ladder T0 review T1 audit T2 compute T3 formal
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Because of the mass gap, lattice QCD simulations exhibit stochastic locality: distant regions of the lattice fluctuate independently. There is a long history of exploiting this to increase statistics by obtaining multiple spatially-separated samples from each gauge field; in the extreme case, we arrive at the master-field approach in which a single gauge field is used. Here we develop techniques for studying hadronic observables using position-space correlators, which are more localized, and compare with the standard time-momentum representation. We also adapt methods for estimating the variance of an observable from autocorrelated Monte Carlo samples to the case of correlated spatially-separated samples.

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  1. Lattice perspectives on doubly heavy tetraquarks

    hep-lat 2025-02 accept novelty 1.0 of 10

    A review of lattice QCD results concludes that doubly heavy tetraquarks Tbb(ud/us) are firmly predicted as bound states, Tcc appears as a virtual state at nonphysical masses, and Tbc is under active study.

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