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**Renormalization differential equation ??**

Let's suppose we have in perturbation theory the quantities

[tex] (m_0 , q_0 , G_0 (x,s)) [/tex]

With m,q, and G(x,s) the 'mass' 'charge' and 'Green function' (propagator)

and the sub-index '0' here stands for "free" theory (no interactions)

Then my question is if there is a PDE , ODE or similar that relates the 'renormalized' (finite values) of the interacting theory

[tex] (m_R , q_R , G_R (x,s)) [/tex] (R=renormalization) and

[tex] (m_0 , q_0 , G_0 (x,s)) [/tex]

So we can use this PDE no matter if the theory is non-renormalizable or not to extract finite values, for several quantities as mass charge and so on.