Geodesic
The perturbation expansion and goldstone singularities in the ordered phase of the $O_n$-symmetrical $\mathbf \Phi^4$-theory in half space
Teoretičeskaâ i matematičeskaâ fizika, Tome 102 (1995) no. 2, pp. 223-236 
M. Yu. Nalimov. The perturbation expansion and goldstone singularities in the ordered phase of the $O_n$-symmetrical $\mathbf \Phi^4$-theory in half space. Teoretičeskaâ i matematičeskaâ fizika, Tome 102 (1995) no. 2, pp. 223-236. http://geodesic.mathdoc.fr/item/TMF_1995_102_2_a5/
@article{TMF_1995_102_2_a5,
     author = {M. Yu. Nalimov},
     title = {The perturbation expansion and goldstone singularities in the ordered phase of the $O_n$-symmetrical $\mathbf \Phi^4$-theory in half space},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {223--236},
     year = {1995},
     volume = {102},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1995_102_2_a5/}
}
TY  - JOUR
AU  - M. Yu. Nalimov
TI  - The perturbation expansion and goldstone singularities in the ordered phase of the $O_n$-symmetrical $\mathbf \Phi^4$-theory in half space
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1995
SP  - 223
EP  - 236
VL  - 102
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1995_102_2_a5/
LA  - ru
ID  - TMF_1995_102_2_a5
ER  - 
%0 Journal Article
%A M. Yu. Nalimov
%T The perturbation expansion and goldstone singularities in the ordered phase of the $O_n$-symmetrical $\mathbf \Phi^4$-theory in half space
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1995
%P 223-236
%V 102
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1995_102_2_a5/
%G ru
%F TMF_1995_102_2_a5

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

The $O_n$-symmetrical $\mathbf \Phi^4$-theory in half space is investigated. Below critical temperature free propagators are obtained in this theory without external field, and their dependence from boundary conditions is studied. The general forms of Goldstone asymptotics of different correlators being functions of small external fields, momenta and large distances from the boundary of the system are determined.

[1] Diehl H. W., Dietrich S., Z. Phys., B 42:1 (1981), 65–86 | DOI

[2] Brezin E., Leibler S., Phys. Rev., B 27:1 (1983), 595–597

[3] Mills D. L., Phys. Rev., B 3:11 (1971), 3887–3895 | DOI

[4] Lubensky T. C., Morton H. Rubin, Phys. Rev., B 12:9 (1975), 3885–3901 | DOI

[5] Wilson C. A., J. Phys., C 13 (1980), 925–935

[6] Brezin E., Wallace D. J., Phys. Rev., B 7:5 (1973), 1967–1974 | DOI

[7] Nelson D. R., Phys. Rev., B 13:5 (1976), 2222–2230 | DOI

[8] Schäfer L., Horner H., Z. Phys., B 29:3 (1978), 251–263

[9] Nicoll J. F., Phys. Rev., B 21:3 (1980), 1124–1132 | DOI | MR

[10] Lawrie I. D., J. Phys., A 14:8 (1981), 2489–2502 | MR

[11] Nalimov M. Yu., TMF, 80:2 (1989), 212–225 | MR

[12] Wilson K. G., Kogut J., Phys. Rep., 12:2 (1974), 75–199 | DOI