Hi.. in what sense do you intrdouce the cut-off inside the action(adsbygoogle = window.adsbygoogle || []).push({});

[tex] \int_{|p| \le \Lambda} \mathcal L (\phi, \partial _{\mu} \phi ) [/tex]

then all the quantities mass [tex] m(\Lambda) [/tex] charge [tex] q(\Lambda) [/tex] and Green function (every order 'n') [tex] G(x,x',\Lambda) [/tex]

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 [tex] \Lambda [/tex] 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

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# Renormalization group and cut-off

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