Abstract
A Chern-Simons term is induced by integrating over fermions in the effective action of a (2+1)-dimensional field theory on a torus. It is shown that the Chern-Simons coefficient is functionally dependent on the nonintegrable phases of the torus as well as on the finite temperature and density. In the non-Abelian case such nonintegrable phases inhibit the generation of a Chern-Simons term in the most general case.
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