On Gauge Invariance and Ward Identities for the Wilsonian Renormalisation Group

Abstract

We investigate non-Abelian gauge theories within a Wilsonian Renormalisation Group approach. The cut-off term inherent in this approach leads to a modified Ward identity (mWI). It is shown that this mWI is compatible with the flow and that the full effective action satisfies the usual Ward identity (WI). The universal 1-loop beta-function is derived within this approach and the extension to the 2-loop level is briefly outlined.

4 pages, latex, talk presented by J. M. Pawlowski at QCD 98, Montpellier, July 2-8, 1998; to be published in Nucl. Phys. B (Proc. Suppl.), reference updated

References in corpus (1)

• Flow Equations for Yang-Mills Theories in General Axial Gauges

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• Background independence in a background dependent renormalization group
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• RG flow equations for the proper-vertices of the background effective average action
• BRST invariant RG flows
• Abelian projected SU(2) Yang-Mills action for renormalisation group flows
• Gradient Flow Exact Renormalization Group for Scalar Quantum Electrodynamics
• Background Effective Action with Nonlinear Massive Gauge Fixing