If the problem of renormalization is that there are divergent integrals for x-->oo couldn't we make the change.(adsbygoogle = window.adsbygoogle || []).push({});

[tex] \int_{0}^{\infty}dx f(x) \approx \sum_{n=0}^{\infty}f(nj) [/tex]

using rectangles with base 'j' small , and approximating the divergent integral by a divergent series and 'summing' by Borel or other kind of resummation, to solve the problem

for Infrared divergences [tex] f(x)= \frac{C}{x^{n}} [/tex] n >0 we could apply some kind of 'Hadamard finite-part integral' or Cauchy Principal Value to get finite results

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# Renormalization and divergent integrals.

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