Geodesic
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 
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/
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     author = {K. G. Klimenko},
     title = {Dynamical breaking of~$U(N)$ and generation of {Chern{\textendash}Simons} term in 4-fermion theories},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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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 $g<0$ 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.

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