In conventional renormalization, for the self-energy, is it possible to make a subtraction from a point not equal to the physical mass?(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\frac{1}{p^2-m_o^2-\Sigma(\mu^2)-\Sigma'(\mu^2)(p^2-\mu^2)-...} [/tex]

Now define [itex]m_o^2+\Sigma(\mu^2)\equiv m(\mu^2) [/itex]

Then:

[tex]\frac{1}{p^2-m(\mu)^2-\Sigma'(\mu^2)(p^2-\mu^2)-...} [/tex]

But you can't seem to write this in the form [itex]\frac{Z}{p^2-m(\mu)^2-\text{finite}}[/itex]

unless you choose [itex]\mu^2=m(\mu^2) [/itex]. But this choice corresponds to the physical mass.

But in BPZ renormalization, you have no problems working with a mass that depends on scale μ, and a scale is like a subtraction point is it not?

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# Subtraction point not physical mass

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