Characteristic solution of the multiplicative Callan-Symanzik equation (source code)

= Characteristic solution of the multiplicative Callan-Symanzik equation
{title2=$C(e^{2t}r,g)=\exp(2\int_0^t\gamma(g(u))du)C(r,g(t))$}

For a dimensionless two-point factor obeying $(-2r\partial_r+\beta\partial_g+2\gamma)C=0$, evolve $g'=\beta(g)$ and accumulate the displayed anomalous-dimension multiplier. The flow property verifies the equation: its transport generator is $\beta\partial_g+2\gamma$. This fixes a frequent sign ambiguity between raising the physical momentum and changing the reference scale.