Ward identities and Wilson renormalization group for QED

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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LaTex file, 26 pages. Figures available upon request. Parma preprint UPRF 93-382

Scientific paper

10.1016/0550-3213(94)90239-9

We analyze a formulation of QED based on the Wilson renormalization group. Although the ``effective Lagrangian'' used at any given scale does not have simple gauge symmetry, we show that the resulting renormalized Green's functions correctly satisfies Ward identities to all orders in perturbation theory. The loop expansion is obtained by solving iteratively the Polchinski's renormalization group equation. We also give a new simple proof of perturbative renormalizability. The subtractions in the Feynman graphs and the corresponding counterterms are generated in the process of fixing the physical conditions.

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