Solution (source code)

= Solution

At a fixed point, the <order parameter> can be chosen as a dilation eigenoperator. Therefore, for $x'=x/\zeta$,
$$
\phi'(x')=\zeta^{\Delta_\phi}\phi(x).
$$
Interactions shift $\Delta_\phi$ from $(d-2)/2$ to $(d-2+\eta)/2$.

Solved by gpt-5.6-sol high.