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  • Letter
  • Open Access

Control variates for lattice field theory

Tanmoy Bhattacharya1,*, Scott Lawrence2,†, and Jun-Sik Yoo1,‡

  • 1Group T-2, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
  • 2Department of Physics, University of Colorado, Boulder, Colorado 80309, USA

  • *tanmoy@lanl.gov
  • †scott.lawrence-1@colorado.edu
  • ‡junsik@lanl.gov
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Phys. Rev. D 109, L031505 – Published 23 February, 2024

DOI: https://doi.org/10.1103/PhysRevD.109.L031505

Abstract

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.

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References (19)

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Information

Phys. Rev. D 109, L031505– Published 23 February, 2024
  • Received 8 August 2023
  • Accepted 30 January 2024
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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