Geodesic
The $n\to\infty$ limit of the $n$-vector model with large defects
Teoretičeskaâ i matematičeskaâ fizika, Tome 86 (1991) no. 3, pp. 448-459 
R. Z. Bariev; I. Z. Ilaldinov. The $n\to\infty$ limit of the $n$-vector model with large defects. Teoretičeskaâ i matematičeskaâ fizika, Tome 86 (1991) no. 3, pp. 448-459. http://geodesic.mathdoc.fr/item/TMF_1991_86_3_a13/
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     author = {R. Z. Bariev and I. Z. Ilaldinov},
     title = {The~$n\to\infty$ limit of the $n$-vector model with large defects},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {448--459},
     year = {1991},
     volume = {86},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1991_86_3_a13/}
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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.

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