标题： 规范固定的傅里叶加速 显示英文标题

标题： Gauge-Fixed Fourier Acceleration

摘要： 对于渐近自由的理论，消除临界慢化（CSD）的一个有希望的策略是简单的傅里叶加速。为了隔离渐近解耦的傅里叶模式，这需要在作用量中引入规范固定。本文中，我们介绍了采用软性规范固定的规范固定傅里叶加速混合蒙特卡洛算法的方法和结果。我们比较了自相关时间与纯混合蒙特卡洛算法的结果。我们在弱耦合的小体积格点上工作。我们展示了使用周期边界条件时的初步结果和遇到的障碍，然后我们展示了通过使用固定的、平衡的边界连接来避免$\mathbb{Z}_3$和其他拓扑障碍，并预期在一个大的、物理相关的格点体积中的许多小单元上应用类似的加速方法的结果。 显示英文摘要

摘要： For an asymptotically free theory, a promising strategy for eliminating Critical Slowing Down (CSD) is na\"ive Fourier acceleration. This requires the introduction of gauge-fixing into the action, in order to isolate the asymptotically decoupled Fourier modes. In this article, we present our approach and results from a gauge-fixed Fourier-accelerated hybrid Monte Carlo algorithm, using an action that softly fixes the gauge links to Landau gauge. We compare the autocorrelation times with those of the pure hybrid Monte Carlo algorithm. We work on a small-volume lattice at weak coupling. We present preliminary results and obstacles from working with periodic boundary conditions, and then we present results from using fixed, equilibrated boundary links to avoid $\mathbb{Z}_3$ and other topological barriers and to anticipate applying a similar acceleration to many small cells in a large, physically-relevant lattice volume.