连续Hasenbusch输运实现带费米子的规范扩散
Continuous Hasenbusch transport towards gauge diffusion with fermions
- Tokyo Woman’s Christian University（东京女子基督教大学）
- Kyoto University（京都大学）
- RIKEN Center for Computational Science（理化学研究所计算科学中心）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本文提出基于连续Hasenbusch输运的解析伪费米子采样器，用于格点规范扩散中引入动力学费米子，无需神经网络，并在双味Schwinger模型中验证了修正可观测量与权重控制。
AI中文摘要：
将动力学费米子纳入格点规范理论的扩散采样器是一个核心挑战。我们提出了一种基于连续Hasenbusch输运的解析伪费米子采样器，作为规范扩散的组成部分。该构造使用平移线性求解和有限路径修正，既不需要显式评估费米子行列式，也不需要学习的伪费米子模型。我们在无神经网络的双味Schwinger模型中展示了该耦合，获得了与独立参考一致的修正物理可观测量。我们还解释了为何精确的协方差输运会导致大的权重波动，并将其追溯到后向跃迁密度。该分析引出了一种基于Wilson算子迹的修正，该修正降低了log-权重方差，而不改变生成的场或增加Dirac算子应用的次数。预测的改进在先前未使用的规范背景上得到了验证。这些结果为在规范扩散中纳入费米子提供了一种解析选项，并为其修正权重的控制提供了指导。
英文摘要：
Incorporating dynamical fermions is a central challenge for diffusion samplers of lattice gauge theories. We propose an analytic pseudofermion sampler based on continuous Hasenbusch transport as a component for gauge diffusion. The construction uses shifted linear solves and a finite-path correction, requiring neither explicit fermion determinant evaluation nor a learned pseudofermion model. We demonstrate the coupling in the two-flavour Schwinger model without neural networks, obtaining corrected physical observables compatible with independent references. We also show why accurate covariance transport can leave large weight fluctuations, tracing them to the backward transition density. This analysis leads to a correction based on the Wilson operator trace that reduces log-weight variance without changing the generated fields or increasing the number of Dirac operator applications. The predicted improvement is verified on previously unused gauge backgrounds. These results provide an analytic option for incorporating fermions in gauge diffusion and a guide to controlling its correction weights.
