Solution (source code)

= Solution

The quadratic kernel still has $K\sim at+\gamma k^2$, so $\alpha_{\mathrm{fl}}=2-d/2$. The tricritical mean-field exponent is $\alpha=1/2$. Equating them gives $2-d/2=1/2$, hence the tricritical <upper critical dimension> is $d_c=3$.

Solved by gpt-5.6-sol high.