$1/N$~expansion in $U(N)\times U(k)$-invariant $N\times k$~matrix chiral models~$(D=2,3)$
Teoretičeskaâ i matematičeskaâ fizika, Tome 75 (1988) no. 3, pp. 361-370
Voir la notice de l'article provenant de la source Math-Net.Ru
A large class of complex $N\times k$ matrix chiral models that are exactly
solvable in the limit $N\to\infty$ constructed. In the $N\to\infty$ the phase structure of $U(N)\times U(k)$-invariant models on the Stiefel manifolds $U(N)/U(N-k)$ is investigated in two-dimensional $(D=2)$ and three-dimensional $(D=3)$ space-time. It is shown that in these
models dynamical formation of massive vector fields is possible.
Three-dimensional gauge $U(N)/U(N-k)\times SU(k)$ and $U(N)/U(N-k)\times U(1)$ models are considered, and it is shown that in them formation
of both massless and massive vector fields is possible.
@article{TMF_1988_75_3_a3,
author = {A. V. Bratchikov and A. A. Deriglazov and I. V. Tyutin},
title = {$1/N$~expansion in $U(N)\times U(k)$-invariant $N\times k$~matrix chiral models~$(D=2,3)$},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {361--370},
publisher = {mathdoc},
volume = {75},
number = {3},
year = {1988},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1988_75_3_a3/}
}
TY - JOUR AU - A. V. Bratchikov AU - A. A. Deriglazov AU - I. V. Tyutin TI - $1/N$~expansion in $U(N)\times U(k)$-invariant $N\times k$~matrix chiral models~$(D=2,3)$ JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1988 SP - 361 EP - 370 VL - 75 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1988_75_3_a3/ LA - ru ID - TMF_1988_75_3_a3 ER -
%0 Journal Article %A A. V. Bratchikov %A A. A. Deriglazov %A I. V. Tyutin %T $1/N$~expansion in $U(N)\times U(k)$-invariant $N\times k$~matrix chiral models~$(D=2,3)$ %J Teoretičeskaâ i matematičeskaâ fizika %D 1988 %P 361-370 %V 75 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1988_75_3_a3/ %G ru %F TMF_1988_75_3_a3
A. V. Bratchikov; A. A. Deriglazov; I. V. Tyutin. $1/N$~expansion in $U(N)\times U(k)$-invariant $N\times k$~matrix chiral models~$(D=2,3)$. Teoretičeskaâ i matematičeskaâ fizika, Tome 75 (1988) no. 3, pp. 361-370. http://geodesic.mathdoc.fr/item/TMF_1988_75_3_a3/