论文标题

量规等流量模型,用于带有伪层的晶格场理论的采样模型

Gauge-equivariant flow models for sampling in lattice field theories with pseudofermions

论文作者

Abbott, Ryan, Albergo, Michael S., Boyda, Denis, Cranmer, Kyle, Hackett, Daniel C., Kanwar, Gurtej, Racanière, Sébastien, Rezende, Danilo J., Romero-López, Fernando, Shanahan, Phiala E., Tian, Betsy, Urban, Julian M.

论文摘要

这项工作介绍了使用伪层作为费米子决定因素的随机估计量的费米子晶状体理论中基于流动采样的量规等级架构。这是最先进的晶格场理论计算中的默认方法,这使得对流程模型在QCD等理论中的实际应用至关重要。还概述了通过标准技术(例如/奇数预处理和HasenBusch分解)来改进基于流的采样方法的方法。提供了二维U(1)和SU(3)具有$ n_f = 2 $ fermions的仪表理论的数值演示。

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.

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