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can be a theory with an infinite number of divergent integrals of the form

$$ \int \frac{d^{p}k}{k^{m}} $$

for m=1 , 2 , 3 , 4 ,...... so the theory would be IR non renormalizable and you would need and infinite set of operations to cure all the IR divergences

thanks.

Nikita
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Jose Javier Garcia
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1 Answers1

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Renormalization in the sense you use it does not cure IR divergences, only UV. This allows to parametrize the UV physics with (in)finite set of constants.

IR divergences are more physical, and tell you about a disease of the model or of the interpretation of the result. For instance, infrared divergences in critical phenomena are a signature that perturbation theory (in the coupling constant) fails, and that resummations are needed (giving rise, for instance, to the anomalous dimension).

Adam
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