My main question is the following: Are there certain QFT's in which for all Feynman diagrams the UV divergences cancel the IR divergences, leaving only a finite result for each diagram.

While searching for an example, I stumbled upon this question, but the example provided there was too specific. Are there other QFT's that you know of that has this interesting property?

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    $\begingroup$ Can you clarify what you mean by UV divergences cancelling IR divergences? This is a phenomenon that is renormalization-scheme dependent so it is unphysical, it doesn't tell you anything about the theory under consideration, it is not an intrinsic property. Furthermore, a regulator that does this is usually considered a bad one, because UV divergences are unphysical (they come from unobservable heavy modes) while IR divergences are very physical (they come from observable, macroscopic modes). $\endgroup$ – AccidentalFourierTransform Apr 22 at 11:34
  • $\begingroup$ @AccidentalFourierTransform Have you looked at the question I have referenced? $\endgroup$ – gsuer Apr 25 at 9:09
  • $\begingroup$ Yes, I have.${}$ $\endgroup$ – AccidentalFourierTransform Apr 25 at 20:18

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