论文标题
高斯固定点的操作员代数
The Operator Algebra at the Gaussian Fixed-Point
论文作者
论文摘要
我们将相关和边缘标量复合算子的多个产品以$ d = 4 $尺寸为单位的高斯定点。这相当于$ ϕ^4 $理论的扰动构造，其中该理论的参数是动量依赖的来源。使用确切的重归其化组（ERG）形式主义，我们展示了源的缩放特性是如何由多种产品的短途奇异性给出的。
We consider the multiple products of relevant and marginal scalar composite operators at the Gaussian fixed-point in $D=4$ dimensions. This amounts to perturbative construction of the $ϕ^4$ theory where the parameters of the theory are momentum dependent sources. Using the exact renormalization group (ERG) formalism, we show how the scaling properties of the sources are given by the short-distance singularities of the multiple products.
