Dimensional regularization is just high-level bullshit
so the method of regulation is irrelevant because they’re all the same asymptotic expansion
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I think my point is that it’s weird to even call dim reg a “regulator” because the way it’s implemented is completely unrelated to the “add a smooth regulator to a sum/integral) method this type of math uses. Something about analytically continuing in the dimensionality of your..
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spacetime is fundamentally more sketchy than, say, energy cutoff regularization. And the fact that dim reg works seems completely unrelated to the regulator independence for formally divergent integrals/sums.
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imo dim reg is actually the least shady of all regulation methods
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How? The high-energy cutoff methods are almost identical to the real math Terry’s doing in this post. Dim-reg is just like “okay but what if we did it in 3.999.. dimensions instead of 4 lmao” I mean, I use it all the time but it feels *so* illegal
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