论文标题
提议的背景独立精确重新归一化组的性质
Properties of a proposed background independent exact renormalization group
论文作者
论文摘要
我们探讨了最近提出的背景独立重新归一化组方法来衡量理论和重力的特性。在此过程中，我们还开发了严格研究它所需的机械。该提案具有一些优势。它明显地保留了规格的不变性，避免引入诸如鬼魂和保利村庄等非物理领域，并且不需要固定量规。但是，我们表明，在简单的情况下，Yang-Mills的简单情况并不能完全使已在一个循环的顶点函数的纵向部分正规化，从而使提取通用组件的某些方法无效。此外，我们证明了一种无关的定理：在提出的结构中，无论选择协变量和截止曲线，一个环的两点顶点流程方程都不能按照仪表不变性而横向，并且完全正则化。
We explore the properties of a recently proposed background independent exact renormalization group approach to gauge theories and gravity. In the process we also develop the machinery needed to study it rigorously. The proposal comes with some advantages. It preserves gauge invariance manifestly, avoids introducing unphysical fields, such as ghosts and Pauli-Villars fields, and does not require gauge-fixing. However, we show that in the simple case of SU(N) Yang-Mills it does not completely regularise the longitudinal part of vertex functions already at one loop, invalidating certain methods for extracting universal components. Moreover we demonstrate a kind of no-go theorem: within the proposed structure, whatever choice is made for covariantisation and cutoff profiles, the two-point vertex flow equation at one loop cannot be both transverse, as required by gauge invariance, and fully regularised.
