The $1/N$ expansion in~the $O(N)\times O(N)$ scalar theory and the problem of~the restoration of~symmetry at~high temperatures
Teoretičeskaâ i matematičeskaâ fizika, Tome 80 (1989) no. 3, pp. 363-371
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The problem of symmetry restoration at high temperatures in the model (1) is considered. The large $N$ expansion method in space-time dimensions $d=3,4$ is used. In the case $d=4$ and $T=0$ the initial symmetry remains intact and the problem stays open. In the case $d=3$ the symmetry may be broken spontaneously at $T=0$ but it is always restored at $T\to\infty$.
@article{TMF_1989_80_3_a3,
author = {K. G. Klimenko},
title = {The $1/N$ expansion in~the $O(N)\times O(N)$ scalar theory and the problem of~the restoration of~symmetry at~high temperatures},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {363--371},
publisher = {mathdoc},
volume = {80},
number = {3},
year = {1989},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1989_80_3_a3/}
}
TY - JOUR AU - K. G. Klimenko TI - The $1/N$ expansion in~the $O(N)\times O(N)$ scalar theory and the problem of~the restoration of~symmetry at~high temperatures JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1989 SP - 363 EP - 371 VL - 80 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1989_80_3_a3/ LA - ru ID - TMF_1989_80_3_a3 ER -
%0 Journal Article %A K. G. Klimenko %T The $1/N$ expansion in~the $O(N)\times O(N)$ scalar theory and the problem of~the restoration of~symmetry at~high temperatures %J Teoretičeskaâ i matematičeskaâ fizika %D 1989 %P 363-371 %V 80 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1989_80_3_a3/ %G ru %F TMF_1989_80_3_a3
K. G. Klimenko. The $1/N$ expansion in~the $O(N)\times O(N)$ scalar theory and the problem of~the restoration of~symmetry at~high temperatures. Teoretičeskaâ i matematičeskaâ fizika, Tome 80 (1989) no. 3, pp. 363-371. http://geodesic.mathdoc.fr/item/TMF_1989_80_3_a3/