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On gauge invariance and ward identities for the Wilsonian renormalisation group

✍ Scribed by Daniel F. Litim; Jan M. Pawlowski

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 414 KB
Volume: 74
Category: Article
ISSN: 0920-5632
DOI: 10.1016/s0920-5632(99)00187-5

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✦ Synopsis

We investigate non-Abelian gauge theories within a Wilsonian Renormalisation Group approach. The cut-off t.erm inherent in this approach leads to a modified Ward identity (mW1). It is shown that this mWI is compatible with the Bow and that the full effective action satisfies the usual Ward identity (WI). The universal l-loop P-function is derived within this approach and the extension to the 2-100~ level is briefly outlined.

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It is asserted in Definition 4.2 in [1] that the random operators U(t) defined there are unitary. As was pointed out to the author by Shizan Fang, it is clear that U(t) is an isometry but it is not obvious that U(t) is surjective. The purpose of this note is to fill this gap. 1998 Academic Press 1.