标量QED的主沃德恒等式
The Master Ward Identity for scalar QED
摘要：
本文强调指出，对于具有导数耦合的相互作用，保证整体U（1）对称性的沃德恒等式（WI）应加以修正。标量量子电动力学作为一个显式的例子。更确切地说，它是严格的标量QED的朴素WI和改进的沃德恒等式（“主沃德恒等式“，MWI）是相互关联的有限重整化的时间有序产品（“T-产品”）的衍生领域，我们指出，MWI具有优势，在朴素WI -特别是关于MWI的证明。我们表明，MWI可以满足在所有订单的微扰理论通过适当的重整化的T-产品，而不与其他标准的重整化条件的冲突。建立与其他最近的MWI配方的关系。
英文摘要：
It is emphasized that for interactions with derivative couplings, the Ward Identity (WI) securing the preservation of a global U(1) symmetry should be modified. Scalar QED is taken as an explicit example. More precisely, it is rigorously shown in scalar QED that the naive WI and the improved Ward Identity ("Master Ward Identity", MWI) are related to each other by a finite renormalization of the time-ordered product ("T-product") for the derivative fields; and we point out that the MWI has advantages over the naive WI - in particular with regard to the proof of the MWI. We show that the MWI can be fulfilled in all orders of perturbation theory by an appropriate renormalization of the T-product, without conflict with other standard renormalization conditions. Relations with other recent formulations of the MWI are established.
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