Differential Renormalization of Gauge Theories

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The scope of constrained differential renormalization is to provide renormalized expressions for Feynman graphs, preserving at the same time the Ward identities of the theory. It has been shown recently that this can be done consistently at least to one loop for abelian and non-abelian gauge theories. We briefly review these results, evaluate as an example the gluon selfenergy in both coordinate and momentum space, and comment on anomalies.
LaTex, 8 pages with 1 ps figures, talk given at the Zeuthen Workshop on Elementary Particle Physics "Loops and Legs in Gauge Theories", Rheinsberg, Germany, April 19-24, 1998, to appear in Acta Physica Polonica B

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