English

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

High Energy Physics - Lattice 2023-12-01 v2

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.

Keywords

Cite

@article{arxiv.2307.15674,
  title  = {Exploiting stochastic locality in lattice QCD: hadronic observables and their uncertainties},
  author = {Mattia Bruno and Marco Cè and Anthony Francis and Patrick Fritzsch and Jeremy R. Green and Maxwell T. Hansen and Antonio Rago},
  journal= {arXiv preprint arXiv:2307.15674},
  year   = {2023}
}

Comments

45 pages, 16 figures, 3 tables. v2: version accepted for publication in JHEP