用梯度流表示的四维$\mathcal{N}=1$ SYM超电流
4D $\mathcal{N}=1$ SYM supercurrent in terms of the gradient flow
摘要：
梯度流和它的小流时间展开提供了一个非常通用的方法来表示重整化复合算子在正则化独立的方式。这种方法已被用来构造典型的Noether流，如格点规范理论中的能量动量张量和轴矢流。本文将同样的方法应用于Wess-Zumino规范下的四维$\mathcal{N}=1$超杨-米尔斯理论（4D $\mathcal{N}=1$ SYM）中的超流。由于这种方法提供了一个先验的适当归一化的保守超电流的表示，我们的结果应该是有用的，例如，在4D $\mathcal{N}=1$ SYM的晶格数值模拟中，如此构造的超电流的守恒可以用作超对称点的标准，其中胶子质量被调谐。
英文摘要：
The gradient flow and its small flow-time expansion provide a very versatile method to represent renormalized composite operators in a regularization-independent manner. This technique has been utilized to construct typical Noether currents such as the energy--momentum tensor and the axial-vector current in lattice gauge theory. In this paper, we apply the same technique to the supercurrent in the four-dimensional $\mathcal{N}=1$ super Yang--Mills theory (4D $\mathcal{N}=1$ SYM) in the Wess--Zumino gauge. Since this approach provides a priori a representation of the properly normalized conserved supercurrent, our result should be useful, e.g., in lattice numerical simulations of the 4D $\mathcal{N}=1$ SYM; the conservation of the so-constructed supercurrent can be used as a criterion for the supersymmetric point toward which the gluino mass is tuned.
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