https://doi.org/10.1140/epjc/s10052-019-6682-y
Regular Article - Theoretical Physics
Wilsonian ward identities
Brighton, UK
* e-mail: oliver.rosten@gmail.com
Received:
18
January
2019
Accepted:
12
February
2019
Published online:
26
February
2019
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.
© The Author(s), 2019
