On Gauge Invariant Wilsonian Flows

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We investigate non-Abelian gauge theories within a Wilsonian Renormalisation Group approach. Our main question is: How close can one get to a gauge invariant flow, despite the fact that a Wilsonian coarse-graining seems to be incompatible with gauge invariance? We discuss the possible options in the case of quantum fluctuations, and argue that for thermal fluctuations a fully gauge invariant implementation can be obtained.
18 pages, to be published in the proceedings of the Faro workshop on the Exact Renormalisation Group, September 1998

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