Scaling flow-based approaches for topology sampling in SU(3) gauge theory
Claudio Bonanno, Andrea Bulgarelli, Elia Cellini, Alessandro Nada, Dario Panfalone, Davide Vadacchino, Lorenzo Verzichelli
我们开发了一种基于非平衡模拟的方法,以便在接近晶格测量理论的连续极限时减轻拓扑冻结。 我们减少了使用开放边界条件的拓扑电荷的自相关关系,同时使用非平衡的蒙特卡洛方法完全消除了它们的非物理效应,其中周期性边界条件逐渐打开。 我们在四维SU(3) Yang-Mills理论的情况下对这种策略的计算成本进行了详细分析。 在完全控制缩放后,我们概述了一个明确的策略,在连续体极限中有效地采样拓扑结构,我们在小于0.045 fm的格位间距处检查。 我们还推广这种方法,为边界条件下的进化设计定制的随机规范化流,在纯随机的非平衡方法方面获得卓越的性能,并为更高效的未来基于流的解决方案铺平道路。
We develop a methodology based on out-of-equilibrium simulations to mitigate topological freezing when approaching the continuum limit of lattice gauge theories. We reduce the autocorrelation of the topological charge employing open boundary conditions, while removing exactly their unphysical effects using a non-equilibrium Monte Carlo approach in which periodic boundary conditions are gradually switched on. We perform a detailed analysis of the computational costs of this strategy in the case o...