This work presents gauge-equivariant architectures for flow-based sampling in fermionic lattice field theories using pseudofermions as stochastic estimators for the fermionic determinant. This is the default approach in state-of-the-art lattice field theory calculations, making this development critical to the practical application of flow models to theories such as QCD. Methods by which flow-based sampling approaches can be improved via standard techniques such as even/odd preconditioning and the Hasenbusch factorization are also outlined. Numerical demonstrations in two-dimensional U(1) and SU(3) gauge theories with $N_f=2$ flavors of fermions are provided.

翻译：这项工作展示了用假发作为热量决定因素的随机测算器,用于在发热场理论中进行流基取样的测量-等差结构。这是最新水平的拉蒂斯实地理论计算中的默认方法,使这一发展对于将流模型实际应用到QCD等理论中至关重要。还概述了通过标准技术,如偶数/奇数先决条件和Hassenbusch因子化,改进流基取样方法的方法。提供了二维U(1)和SU(3)表象理论中的数值演示,用美元=f=2美元的发酵口味。