High Energy Physics - Lattice
[Submitted on 29 Jan 2025
]
Title: Hessian-free force-gradient integrators and their application to lattice QCD simulations
Title: 无Hessian力梯度积分器及其在格点QCD模拟中的应用
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.
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