Question

How is $\mu$ the same as a renormalisation scale?

Answer 1

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✔️✔️charge eReR by e2R=p20V(p20)eR2=p02V(p02).

He then goes on to derive the RG equation p20deeffdp20=e3eff24π2p02deeffdp02=eeff324π2 

where eeff=p2V(p2)eeff=p2V(p2).

Then he proceeds to talk about deriving the RG equations systematically from the counter terms and derives μdeeffdμ=e3eff12π2μdeeffdμ=eeff312π2 with μμ the renormalisation scale.

This is essentially the same equation but with p0→μp0→μ.

So what is the connection between p0p0 and μμ? How is it that they appear to be the same thing even though one was introduced to define the charge and the other was introduced to make dimensions work out? Or are they actually different

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