论文标题
使用Equivariant Flow使用全球校正步骤来解决关键的速度：Schwinger模型的情况
Tackling critical slowing down using global correction steps with equivariant flows: the case of the Schwinger model
论文作者
论文摘要
我们提出了一种新方法，以模拟植物仪理论。该方法结合了基于流量的生成模型，用于本地量规字段更新和分解费用决定因素的分层更新。基于流的生成模型仅限于向子域内的量规场提出更新，从而使训练时间适度，同时增加了全球量。我们将方法应用于具有$ n_f = 2 $ n_f = 2 $ Wilson Dirac Fermions的二维（2D）Schwinger模型，并表明在拓扑扇区的采样最多$β= 8.45 $中没有观察到任何关键的放慢速度。此外，我们表明，可以通过主动子域之间的距离进行指数抑制的波动，从而使我们能够达到最高$ 99 \％$的接受率，以达到最高$ V = 128 \ times128 $的晶格量最高$ 99 \％$。
We propose a new method for simulating lattice gauge theories in the presence of fermions. The method combines flow-based generative models for local gauge field updates and hierarchical updates of the factorized fermion determinant. The flow-based generative models are restricted to proposing updates to gauge-fields within subdomains, thus keeping training times moderate while increasing the global volume. We apply our method performs to the 2-dimensional (2D) Schwinger model with $N_f=2$ Wilson Dirac fermions and show that no critical slowing down is observed in the sampling of topological sectors up to $β=8.45$. Furthermore, we show that fluctuations can be suppressed exponentially with the distance between active subdomains, allowing us to achieve acceptance rates of up to $99\%$ for the outer-most accept/reject step on lattices volumes of up to $V=128\times128$.
