Hessian-free force-gradient integrators and their application to lattice QCD simulations
Abstract
We present initial results on Hessian-free force-gradient integrators for lattice field theories. Integrators of this framework promise to provide substantial performance enhancements, particularly for larger lattice volumes where higher-order integrators demonstrate greater efficiency. Numerical results demonstrate the superior efficiency of the proposed integrators compared to commonly employed non-gradient schemes, particularly due to enhanced stability properties. It is anticipated that the advantages of the Hessian-free framework will become even more pronounced in nested integration approaches and for smaller fermion masses, where the numerical stability properties of the integrators become increasingly important.
Cite
@article{arxiv.2501.17632,
title = {Hessian-free force-gradient integrators and their application to lattice QCD simulations},
author = {Kevin Schäfers and Jacob Finkenrath and Michael Günther and Francesco Knechtli},
journal= {arXiv preprint arXiv:2501.17632},
year = {2025}
}
Comments
Contribution to Proceedings of the 41st International Symposium on Lattice Field Theory (LATTICE2024)