Abstract
We extend the method of differential renormalization to massive quantum field theories, treating in particular λϕ 4-theory and QED. As in the massless case, the method proves to be simple and powerful, and we are able to find, in particular, compact explicit coordinate space expressions for the finite parts of two notably complicated diagrams, namely, the two-loop two-point function in λϕ 4 and the one-loop vertex in QED.
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