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arXiv · 2404.10707

Schwinger-Dyson control variates for lattice fermions

Scott Lawrence
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Abstract

Previous work has shown that high-quality control variates for lattice Monte Carlo methods may be constructed from lattice Schwinger-Dyson relations. This paper extends that method to theories with lattice fermions, using the Thirring model in $1+1$ spacetime dimensions as a testbed. Past construction of these control variates involved a number of fitting parameters that scaled with lattice volume. By computing the control variate in perturbation theory, the number of fitting parameters required for an order-of-magnitude improvement in the signal-to-noise ratio at weak coupling is reduced to be of order one.

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Scott Lawrence. 2024-04-16. Schwinger-Dyson control variates for lattice fermions. https://arxiv.org/abs/2404.10707

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