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 Quote by Sangoku Hi.. in what sense do you intrdouce the cut-off inside the action $$\int_{|p| \le \Lambda} \mathcal L (\phi, \partial _{\mu} \phi )$$ then all the quantities mass $$m(\Lambda)$$ charge $$q(\Lambda)$$ and Green function (every order 'n') $$G(x,x',\Lambda)$$ will depend on the value of cut-off, and are well defined whereas this cut-off is finite now what else can be done ??.. could we consider this cut-off $$\Lambda$$ to be some kind of 'physical' field (or have at least a physical meaning, or can we make this finite measuring 'm' 'q' or similar