Dynamical breaking of~$U(N)$ and generation of Chern--Simons term in 4-fermion theories
Teoretičeskaâ i matematičeskaâ fizika, Tome 92 (1992) no. 1, pp. 166-171

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

The phase structure of a three-dimensional four-fermion field theory is considered. It is shown that for $g0$ both parity and the $U(N)$ invariance of the model are spontaneously broken. For odd $N$, this leads to the generation of a Chern–Simons term if the fermions interact with a gauge field.
@article{TMF_1992_92_1_a16,
     author = {K. G. Klimenko},
     title = {Dynamical breaking of~$U(N)$ and generation of {Chern--Simons} term in 4-fermion theories},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {166--171},
     publisher = {mathdoc},
     volume = {92},
     number = {1},
     year = {1992},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1992_92_1_a16/}
}
TY  - JOUR
AU  - K. G. Klimenko
TI  - Dynamical breaking of~$U(N)$ and generation of Chern--Simons term in 4-fermion theories
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1992
SP  - 166
EP  - 171
VL  - 92
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_1992_92_1_a16/
LA  - ru
ID  - TMF_1992_92_1_a16
ER  - 
%0 Journal Article
%A K. G. Klimenko
%T Dynamical breaking of~$U(N)$ and generation of Chern--Simons term in 4-fermion theories
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1992
%P 166-171
%V 92
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_1992_92_1_a16/
%G ru
%F TMF_1992_92_1_a16
K. G. Klimenko. Dynamical breaking of~$U(N)$ and generation of Chern--Simons term in 4-fermion theories. Teoretičeskaâ i matematičeskaâ fizika, Tome 92 (1992) no. 1, pp. 166-171. http://geodesic.mathdoc.fr/item/TMF_1992_92_1_a16/