Simulation study demonstrates improved signal-to-noise ratios in two-dimensional scalar field theory, highlighting a scalable approach to control variance in lattice models.
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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Bhattacharya et al. (2024) studied this question.
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