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The CP-nonconserving portion of the gauge-field effective action for an even number of left-handed SU (2) fermion doublets, with nonzero chemical potentials ^i, is calculated to leading order in the inverse temperature, T^-1. It is shown to be ^i₈ ({^i}T) WA, where WA is the Chern-Simons topological mass term. This result is also shown to be a consequence of the U (1) ₋ anomaly at zero temperature, but with 0. Because of the i in front of the Chern-Simons term, this produces magnetic screening only if is complex.
Redlich et al. (Mon,) studied this question.
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