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The production of the hypermagnetic gyrotropy is investigated under theassumption that the gauge coupling smoothly evolves during a quasi-de Sitterphase and then flattens out in the radiation epoch by always remainingperturbative. In the plane defined by the strength of the anomalousinteractions and by the rate of evolution of the gauge coupling the actualweight of the pseudoscalar interactions turns out to be always rather modest ifmajor deviations from the homogeneity are to be avoided during the inflationaryphase. Even if the gauge power spectra are related by duality only in theabsence of anomalous contributions, an approximate duality symmetry constrainsthe late-time form of the hypermagnetic power spectra. Since the hypermagneticgyrotropy associated with the modes reentering prior to the phase transitionmust be released into fermions later on, the portions of the parameter spacewhere the obtained baryon asymmetry is close to the observed value are the mostrelevant for the present ends. For the same range of parameters the magneticpower spectra associated with the modes reentering after symmetry breaking mayeven be of the order of a few hundredths of a nG over typical length scalescomparable with the Mpc prior to the collapse of the protogalaxy.

Baryogenesis, magnetogenesis and the strength of anomalous interactions