TY - JOUR
T1 - Exploiting stochastic locality in lattice QCD: hadronic observables and their uncertainties
AU - Bruno, Mattia
AU - Cè, Marco
AU - Francis, Anthony
AU - Fritzsch, Patrick
AU - Green, Jeremy R.
AU - Hansen, Maxwell T.
AU - Rago, Antonio
N1 - Funding Information:
We warmly thank John Bulava and Martin Lüscher for useful discussions and continued inspiration. This work made use of the openQCD software package [24 , 50]. MB thanks P. Boyle, T. Izubuchi and C. Lehner for several useful discussions on the topic. The research of MB and MC is funded through the MUR program for young researchers “Rita Levi Montalcini”. MTH is supported by UKRI Future Leaders Fellowship MR/T019956/1, and in part by U.K. STFC grant ST/P000630/1. The authors acknowledge the Texas Advanced Computing Center (TACC) at The University of Texas at Austin for providing HPC resources that have contributed to the research results reported within this paper. This research used resources of the National Energy Research Scientific Computing Center, which is supported by the Office of Science of the U.S. Department of Energy under Contract No. DE-AC02-05CH11231. Many simulations and measurements were also performed on a dedicated HPC cluster at CERN. The generous support of all these institutions is gratefully acknowledged. Furthermore we thank Kostas Orginos and André Walker-Loud for their role supporting this effort and helping to make these resources available to us. Part of the analysis was performed using the pyobs library [51].
MB thanks P. Boyle, T. Izubuchi and C. Lehner for several useful discussions on the topic. The research of MB and MC is funded through the MUR program for young researchers “Rita Levi Montalcini”.
Publisher Copyright:
© 2023, The Author(s).
PY - 2023/11/23
Y1 - 2023/11/23
N2 - 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.
AB - 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.
KW - Algorithms and Theoretical Developments
KW - Correlation Functions
KW - Hadronic Spectroscopy
KW - Lattice QCD
KW - Structure and Interactions
UR - http://www.scopus.com/inward/record.url?scp=85177877763&partnerID=8YFLogxK
U2 - 10.1007/JHEP11(2023)167
DO - 10.1007/JHEP11(2023)167
M3 - Article
AN - SCOPUS:85177877763
SN - 1126-6708
VL - 2023
SP - 1
EP - 43
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 11
M1 - 167
ER -