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Control variates for lattice field theory

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arxiv 2307.14950 v1 pith:UWC62RSA submitted 2023-07-27 hep-lat

Tanmoy Bhattacharya , Scott Lawrence , Jun-Sik Yoo This is my paper · ORCID
classification hep-lat
keywords fieldlatticecontrolmethodsignal-to-noisetheoryvariatesconstructed
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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.

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