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Title: Control variates for lattice field theory

Journal Article · · Physical Review. D.
ORCiD logo [1]; ORCiD logo [2]; ORCiD logo [1]
  1. Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
  2. University of Colorado, Boulder, CO (United States)
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In most lattice field theories, correlators are plagued by a signal-to-noise problem of exponential difficulty in the time separation. We propose a method for improving the signal-to-noise ratio, in which control variates are systematically constructed from lattice Schwinger-Dyson relations. The method is demonstrated on various two-dimensional lattices in scalar field theory, and a strategy for scaling to larger systems is explored.

Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
89233218CNA000001; SC0017905; AC52-06NA25396
OSTI ID:
2311220
Alternate ID(s):
OSTI ID: 2340886
Report Number(s):
LA-UR-23-28228; TRN: US2410555
Journal Information:
Physical Review. D., Vol. 109, Issue 3; ISSN 2470-0010
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (14)

Error estimation and reduction with cross correlations journal June 2010
The strategy for computing the hadronic mass spectrum journal January 1984
Path integral contour deformations for noisy observables journal July 2020
Light quark vacuum polarization at the physical point and contribution to the muon g − 2 journal January 2020
Machine learning estimators for lattice QCD observables journal July 2019
Lattice QCD ensembles with four flavors of highly improved staggered quarks journal March 2013
Complex paths around the sign problem journal March 2022
A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems journal January 2009
New class of variance-reduction techniques using lattice symmetries journal November 2013
Axial Vector Form Factors from Lattice QCD that Satisfy the PCAC Relation journal February 2020
FLAG Review 2021 journal October 2022
Mean-value identities as an opportunity for Monte Carlo error reduction journal May 2009
Perturbative removal of a sign problem journal November 2020
Deep learning of fermion sign fluctuations journal June 2023

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73 NUCLEAR PHYSICS AND RADIATION PHYSICS
lattice field theory
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