Force Gradient Integrators

TL;DR

This paper investigates Force Gradient integrators in lattice field theories, demonstrating they can significantly improve computational performance, especially for large lattices and light fermions, with over twofold speed-up observed.

Contribution

It introduces the application of Force Gradient integrators to lattice field theories and provides initial empirical evidence of their performance benefits.

Findings

Over twofold speed-up in simulations

Performance improvement increases with smaller step sizes

Effective for large lattices and light fermions

Abstract

We present initial results of the use of Force Gradient integrators for lattice field theories. These promise to give significant performance improvements, especially for light fermions and large lattices. Our results show that this is indeed the case, indicating a speed-up of more than a factor of two, which is expected to increase as the integration step size becomes smaller for larger lattices and smaller fermion masses.