Wilsonian ward identities
Wilsonian ward identities
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威尔逊病区身份
DOI：
10.1140/epjc/s10052-019-6682-y
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发表时间：
2017
期刊：
影响因子：
--
通讯作者：
Oliver J. Rosten
中科院分区：
文献类型：
--
作者：
Oliver J. Rosten
对于共形场理论，它示出了如何在威尔逊设置对应于伸缩不变性的沃德身份出现。在这样做时，澄清了教科书处理中不透明的几点。利用正合重整化群是共形代数的一个表示这一事实，尽管存在调节器，但伸缩不变性可以直接作为作用量的一个性质来陈述。这避免了需要正式的声明，共形不变性是恢复一旦监管机构被删除。此外，适当的共形初级领域的沃德身份持有的子集被确定为所有维度。
For conformal field theories, it is shown how the Ward identity corresponding to dilatation invariance arises in a Wilsonian setting. In so doing, several points which are opaque in textbook treatments are clarified. Exploiting the fact that the Exact Renormalization Group furnishes a representation of the conformal algebra allows dilatation invariance to be stated directly as a property of the action, despite the presence of a regulator. This obviates the need for formal statements that conformal invariance is recovered once the regulator is removed. Furthermore, the proper subset of conformal primary fields for which the Ward identity holds is identified for all dimensionalities.