The $n\to\infty$ limit of the $n$-vector model with large defects

The correlation functions of the three-dimensional $n$-vector model are investigated in the limit $n\to\infty$ near a large defect with dimension $d'$. It is shown that at the critical point the correlation function behaves nonuniversally when $d'=1$ and that scaling is violated when $d'=2$. The local magnetization behaves similarly. The calculations have been made to the second order in the parameter $\lambda$, which characterizes the strength of the defect.