Solution (source code)

= Solution

The engineering value follows from the Gaussian kinetic term. At an interacting <renormalization-group fixed point>, momentum-dependent self-energy diagrams change the kinetic coefficient, and restoring its normalization requires <wave-function renormalization>. The resulting <anomalous dimension> $\eta$ changes the full <scaling dimension> to
$$
\boxed{\Delta_\phi=\frac{d-2+\eta}{2}}.
$$