We study a novel class of numerical integrators, the adapted nested force-gradient schemes, used within the molecular dynamics step of the Hybrid Monte Carlo (HMC) algorithm. We test these methods in the Schwinger model on the lattice, a well known benchmark problem. We derive the analytical basis of nested force-gradient type methods and demonstrate the advantage of the proposed approach, namely reduced computational costs compared with other numerical integration schemes in HMC.
Cite
@article{arxiv.1512.03812,
title = {Adapted nested force-gradient integrators: the Schwinger model case},
author = {Dmitry Shcherbakov and Matthias Ehrhardt and Jacob Finkenrath and Michael Günther and Francesco Knechtli and Michael Peardon},
journal= {arXiv preprint arXiv:1512.03812},
year = {2016}
}