论文标题

使用$ su(n)$ gauge epoivariant流进行抽样

Sampling using $SU(N)$ gauge equivariant flows

论文作者

Boyda, Denis, Kanwar, Gurtej, Racanière, Sébastien, Rezende, Danilo Jimenez, Albergo, Michael S., Cranmer, Kyle, Hackett, Daniel C., Shanahan, Phiala E.

论文摘要

我们开发了一种基于流的采样算法,用于$ su(n)$ lattice仪表理论,该算法是通过构造量规范的。我们的关键贡献是在$ SU(n)$ variable(或通过简单替代方案的$ u(n)$变量上构建一类流量,以尊重矩阵共轭对称性。我们将此技术应用于单个$ SU(N)$变量的样本分布,并在二维中构建基于流的采样器(2)$(2)$(2)$(2)$(3)$ lattice Gauge理论。

We develop a flow-based sampling algorithm for $SU(N)$ lattice gauge theories that is gauge-invariant by construction. Our key contribution is constructing a class of flows on an $SU(N)$ variable (or on a $U(N)$ variable by a simple alternative) that respect matrix conjugation symmetry. We apply this technique to sample distributions of single $SU(N)$ variables and to construct flow-based samplers for $SU(2)$ and $SU(3)$ lattice gauge theory in two dimensions.

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