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We show how the temperature-dependent chiral vortical effect can generatehypermagnetic fields and matter-antimatter asymmetries, in the symmetric phaseof the early Universe, in the temperature range 100GeV<T<10TeV, even in thepresence of the weak sphaleron processes. We take into account all perturbativechirality-flip processes, as well as the nonperturbative Abelian andnon-Abelian anomalous effects. By considering the resulting constraints andconservation laws in the plasma, we reduce the number of required evolutionequations. We also simplify the anomalous transport coefficients, accordingly.We then show that, due to the overlapping small transient fluctuations in thetemperature of some matter degrees of freedom and vorticity of the plasma, theemergent chiral vortical current leads to the generation of stronghypermagnetic fields and matter-antimatter asymmetries, all starting from zeroinitial values. We obtain the baryon asymmetry 10^(-10) and a positive helicityhypermagnetic field with the amplitude 10^(19)G, at the onset of theelectroweak phase transition. Although the sphaleron processes tend to washoutthe generated (B+L) asymmetry, the hypermagnetic field impedes the washoutprocess, and the baryogenesis and leptogenesis occur without (B-L) violation.

Magnetobaryogenesis in the presence of weak sphalerons from overlapping transient fluctuations in temperature and vorticity