论文标题

标量QED的大师病房身份

The Master Ward Identity for scalar QED

论文作者

Dütsch, Michael, Peters, Luis, Rehren, Karl-Henning

论文摘要

可以强调的是,对于与衍生耦合的相互作用,应修改确保全局U(1)对称性的保护区身份(WI)。标量QED被视为一个明确的示例。更确切地说,在标量QED中严格显示出,幼稚的WI和改善的病房身份(“主病房身份”,MWI)通过对衍生领域的时级产品(“ T-prododuct”)的有限重新归一化而相互关联。我们指出,MWI比天真的WI具有优势 - 特别是在MWI的证明方面。我们表明,通过对T产品的适当重新归一化,可以在所有扰动理论的顺序中实现MWI,而不会与其他标准的重新规定条件发生冲突。与MWI的其他最新表述建立了关系。

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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