2024/04/16 by Scott Lawrence, Lawrence, Scott · 2 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Quantum Chromodynamics and Particle Interactions #Quantum chaos and dynamical systems
paper · pdf · doi:10.48550/arxiv.2404.10707
openalex publication_date 2024/04/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
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.