Field-renormalization anomalous dimension
= Field-renormalization anomalous dimension
{title2=$\gamma_\phi=\tfrac12\mu\,d\log Z_\phi/d\mu$}
If $\phi_B=Z_\phi^{1/2}\phi_R$, differentiating a renormalized $n$-point function at fixed bare parameters gives $(\mu\partial_\mu+\beta\partial_g+n\gamma_\phi)G_{n,R}=0$. With this convention the field <scaling dimension> at a fixed point is its <engineering dimension> plus $\gamma_\phi$. The critical exponent $\eta$ for scalar two-point decay is $2\gamma_\phi$.