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

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{TMF_1991_86_3_a13,
     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},
     publisher = {mathdoc},
     volume = {86},
     number = {3},
     year = {1991},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1991_86_3_a13/}
}
TY  - JOUR
AU  - R. Z. Bariev
AU  - I. Z. Ilaldinov
TI  - The~$n\to\infty$ limit of the $n$-vector model with large defects
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1991
SP  - 448
EP  - 459
VL  - 86
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_1991_86_3_a13/
LA  - ru
ID  - TMF_1991_86_3_a13
ER  - 
%0 Journal Article
%A R. Z. Bariev
%A I. Z. Ilaldinov
%T The~$n\to\infty$ limit of the $n$-vector model with large defects
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1991
%P 448-459
%V 86
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_1991_86_3_a13/
%G ru
%F TMF_1991_86_3_a13
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/