Adapted nested force-gradient integrators: the Schwinger model case
For researchers using HMC in lattice field theory, this work offers a more efficient numerical integration method, though it is incremental as it applies known techniques to a specific benchmark problem.
The paper introduces adapted nested force-gradient integrators for the Hybrid Monte Carlo algorithm, demonstrating reduced computational costs compared to other integration schemes in the Schwinger model on the lattice.
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.