The functional renormalization group equations are derived for the conformally reduced gravity, in the framework of the Wegner–Houghton equation. It is argued, that the blocking introduces bilocal terms into the action, which can account for the evolution of the anomalous dimension. The phase structure exhibits the known structure including an ultraviolet attractive non-Gaussian fixed point.

中文翻译：

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具有双局部势的保形减少重力的重整化

在 Wegner-Houghton 方程的框架内，为保形简化的重力导出了泛函重整化群方程。有人认为，阻塞将双局部项引入到动作中，这可以解释异常维度的演变。相结构呈现已知结构，包括紫外吸引非高斯不动点。