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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2501.17632 |
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| _version_ | 1866912209372708864 |
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| author | Schäfers, Kevin Finkenrath, Jacob Günther, Michael Knechtli, Francesco |
| author_facet | Schäfers, Kevin Finkenrath, Jacob Günther, Michael Knechtli, Francesco |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_17632 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hessian-free force-gradient integrators and their application to lattice QCD simulations Schäfers, Kevin Finkenrath, Jacob Günther, Michael Knechtli, Francesco High Energy Physics - Lattice 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. |
| title | Hessian-free force-gradient integrators and their application to lattice QCD simulations |
| topic | High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2501.17632 |