Exploiting stochastic locality in lattice QCD: hadronic observables and their uncertainties
arXiv:2307.15674 · doi:10.1007/JHEP11(2023)167
Abstract
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.
arXiv comment45 pages, 16 figures, 3 tables. v2: version accepted for publication in JHEP
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