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Dynamical breaking of $U(N)$ and generation of Chern–Simons term in 4-fermion theories

K. G. Klimenko

Institute for High Energy Physics

Abstract: 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.

Received: 29.01.1992

 English version: Theoretical and Mathematical Physics, 1992, 92:1, 810–813

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