Hi. I have observed that Ryder in his book on QFT before doing dimensional regularization introduces a scale ##\mu## in order to keep the coupling constant dimensionless in the lagragnian. However in two other books; Weinberg and Peskin and Schroeder, they do not introduce this scale in the same way. Is it really up to preference if one wants to do this or not? If so what are the pro's and con's by introducing the scale in this way? And why is it up to one to choose?(adsbygoogle = window.adsbygoogle || []).push({});

Personally I feel that the most natural way to introduce a scale is through the renormalization prescription; for example ##i\Gamma^{(4)}(\mu) = g_R## in ##\phi^4## theory.

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# Dimensional regularization and renormalization scale.

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