Functional flows in QED and the modified Ward–Takahashi identity

Yuji Igarashi, Katsumi Itoh, Jan M Pawlowski

doi:10.48550/arxiv.1604.08327

Functional flows in QED and the modified Ward–Takahashi identity

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書誌事項

公開日: 2016-09-12

権利情報

http://iopscience.iop.org/info/page/text-and-data-mining
http://iopscience.iop.org/page/copyright

DOI

10.1088/1751-8113/49/40/405401
10.48550/arxiv.1604.08327

公開者: IOP Publishing

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説明

In the functional renormalisation group approach to gauge theory, the Ward-Takahashi identity is modified due to the presence of an infrared cutoff term. It take the most accessible form for the Wilsonian effective action. In the present work we solve these identities, partially, for the Wilson effective action of QED. In particular, we compute the longitudinal part of the photon two point vertex function as a momentum- dependent function in the presence of the cutoff k. The resultant Wilsonian effective action carries form factors that originate from the modified Ward-Takahashi identity. We show how this result carries over to the one-particle-irreducible effective action.

15 pages