标题： 格点量子色动力学中的黎曼流形混合蒙特卡洛算法 显示英文标题

标题： Riemannian manifold hybrid Monte Carlo in lattice QCD

摘要： 临界减速给基于exascale计算机实现的更小格点间距的格点QCD计算带来了关键障碍。受傅里叶加速概念的启发，我们研究了一种黎曼流形哈密顿蒙特卡洛（RMHMC）算法的版本，在该版本中，哈密顿蒙特卡洛（HMC）算法的正则质量项被SU(3)规范协变拉普拉斯算子的有理函数所取代。我们开发了一系列工具，这些工具基于SU(3)规范协变拉普拉斯算子的切比雪夫滤波器，提供了规范力和费米力的功率谱，并确定了由此产生的RMHMC演化中长距离和短距离QCD可观测量的光谱依赖性。这些工具可用于优化RMHMC的质量项，并监控由此产生的模式化加速方式。 显示英文摘要

摘要： Critical slowing down presents a critical obstacle to lattice QCD calculation at the smaller lattice spacings made possible by Exascale computers. Inspired by the concept of Fourier acceleration, we study a version of the Riemannian Manifold HMC (RMHMC) algorithm in which the canonical mass term of the HMC algorithm is replaced by a rational function of the SU(3) gauge covariant Laplacian. We have developed a suite of tools using Chebyshev filters based on the SU(3) gauge covariant Laplacian that provides the power spectra of both the gauge and fermion forces and determines the spectral dependence of the resulting RMHMC evolution of long- and short-distance QCD observables. These tools can be used to optimize the RMHMC mass term and to monitor the resulting acceleration mode-wise.