Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-03-19
J.Phys.A40:9675-9690,2007
Physics
High Energy Physics
High Energy Physics - Theory
18 pages, LaTeX2e; added appendix A to improve sects. 2 and 4; added ref. 12
Scientific paper
10.1088/1751-8113/40/31/034
It has been known for some time that a smooth momentum cutoff is compatible with local gauge symmetries. In this paper we show concretely how to construct QED using the exact renormalization group (ERG). First, we give a new derivation of the Ward identity for the Wilson action using the technique of composite operators. Second, parameterizing the theory by its asymptotic behavior for a large cutoff, we show how to fine-tune the parameters to satisfy the identity. Third, we recast the identity as invariance of the Wilson action under a non-linear BRST transformation.
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