论文标题
梯度流动精确翻新组
Gradient flow exact renormalization group
论文作者
论文摘要
梯度流与粗晶状体（重新归一化组（RG）的指导原理）非常相似。在标量场理论的情况下，在确切的重质化组（ERG）形式主义中，梯度流动与威尔逊作用的RG流之间已经建立了精确的联系。通过模仿这种联系的结构，我们提出了一个ERG微分方程，该方程在Yangs理论中保留了明显的规格不变性。我们在连续理论中的构建可以扩展到晶格仪理论。
The gradient flow bears a close resemblance to the coarse graining, the guiding principle of the renormalization group (RG). In the case of scalar field theory, a precise connection has been made between the gradient flow and the RG flow of the Wilson action in the exact renormalization group (ERG) formalism. By imitating the structure of this connection, we propose an ERG differential equation that preserves manifest gauge invariance in Yang--Mills theory. Our construction in continuum theory can be extended to lattice gauge theory.
