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from Part IV - Renormalization
Published online by Cambridge University Press: 22 February 2022
We describe the BPHZ scheme of renormalization. The diverging integrals are tamed by replacing the integrand by a regularized version of it with better properties. Historically the scheme was recursive, removing in turn the divergences from the small diagrams to the larger ones, but now the regularization of the integrand is directly given as a sum of terms by the forest formula. In the end, the scheme can be seen as a very clever use of Taylor’s formula.
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