The Gauge Invariant ERG

Physics – High Energy Physics – High Energy Physics - Theory

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10 pages, 1 figure. Proceeding of Quarks-2004, Pushkinskie Gory, Russia, May 24-30. v2: minor corrections compared to publishe

Scientific paper

We sketch the construction of a gauge invariant Exact Renormalization Group (ERG). Starting from Polchinski's equation, the emphasis is on how a series of ideas have combined to yield the gauge invariant formalism. A novel symmetry of the ERG allows the flow equation to be modified, in such a way that it is suitable for the computation of the (universal) two-loop beta-function. This computation has now been performed, within the framework of the ERG and, as such, in a manifestly gauge invariant way for the very first time.

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