Boundary effects and interplay between spontaneous and anomalous breaking of parity in odd dimensions

Eta-function regularization of odd-dimensional fermionic determinants in the presence of nonvanishing background gauge field-strengths at euclidean space-time infinity yields both anomalous and spontaneous violation of parity. The competive contributions of the latter to the magnitude of induced currents and charges in a static or constant uniform background are calculated. (orig.)