Abstract
A general model for the cosmological evolution of the fine structure constant αdriven by a typical Quintessence scenario is presented. We consider a coupling between the Quintessence scalar ϕand the electromagnetic kinetic term F^2, given by a general function B_F(ϕ). We study the dependence of the cosmological Δα(t) upon the functional form of B_F and discuss the constraints imposed by the data. We find that different cosmological histories for Δα(t) are possible within the avaliable constraints. We also find that Quasar absorption spectra evidence for a time variation of alpha, if confirmed, is not incompatible with Oklo and meteorites limits.
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