master-fradkin-QFTbookPUP-cambridge6A

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rg beta function Thus, the answer to my first question is: The right way to get a beta function in the context of momentum-shell renormalization is to determine the flow of the couplings with rescaling Λ and to add that dependence to the flow induced by the engineering scaling dimensions of the couplings..

79king orgg What is the motivation behind defining the beta function as the logarithmic derivative of the coupling constant with respect to scale and not just the regular derivative?

ev owners face 884 charge Renormalization Group Equations (RGEs) are indispensable tool to know the behavior of physical parameters at different energy scales. They are also extremely crucial if we want to extend our known Standard Model gauge group by some extra gauge groups and the $β$-functions are the soul of these RGEs. In literature although it is quite common to find long, final expressions of the RGEs ...