论文标题
WorldVolume的方法进行了钢化
Worldvolume approach to the tempered Lefschetz thimble method
论文作者
论文摘要
作为解决数值标志问题的解决方案，我们提出了一种新型的混合蒙特卡洛算法，其中在其中进行了分子动力学，在连续的一组集成表面上进行的分子动力学，由抗黑晶梯度流（“抗黑质梯度流动”（“整合表面的世界volume”）。这是钢化Lefschetz Thimble方法（TLTM）的扩展，并且像原始TLTM一样同时解决符号和多模式问题。此外，在这种新算法中，不再需要在生成配置时计算梯度流的雅各布，并且只需要在测量时评估其相位。为了证明该算法正常工作，我们将算法应用于手性随机矩阵模型，为此，已知复杂的langevin方法不起作用。
As a solution towards the numerical sign problem, we propose a novel Hybrid Monte Carlo algorithm, in which molecular dynamics is performed on a continuum set of integration surfaces foliated by the antiholomorphic gradient flow ("the worldvolume of an integration surface"). This is an extension of the tempered Lefschetz thimble method (TLTM), and solves the sign and multimodal problems simultaneously as the original TLTM does. Furthermore, in this new algorithm, one no longer needs to compute the Jacobian of the gradient flow in generating a configuration, and only needs to evaluate its phase upon measurement. To demonstrate that this algorithm works correctly, we apply the algorithm to a chiral random matrix model, for which the complex Langevin method is known not to work.
