Renormalization-group characteristic solution for a two-point function (source code)

= Renormalization-group characteristic solution for a two-point function
{title2=$d(e^{2t},g)=d(1,\bar g(t))e^{2\int_0^t\gamma_\phi(\bar g(s))ds}$}

For $t=\log(|p|/\mu)$ and $d\bar g/dt=\beta(\bar g)$, the displayed characteristic solution follows from $(-\partial_t+\beta\partial_g+2\gamma_\phi)d=0$. It separates the <running coupling> from the accumulated <field-renormalization anomalous dimension>. The exponent sign is determined by the precise <Callan-Symanzik equation> convention.