Gaussian processes reconstruction of the dark energy potential

Abstract Scalar Fields (SF) have emerged as natural candidates for dark energy quintessential or phantom fields, they are the main ingredient of inflation theories. Instead assuming some form scalar field potential, however, this work reconstructs SF potential directly from observational data, namely, Hubble and SNe Ia data. We show that two popular forms potentials, power-law quadratic free-field, compatible with reconstructions thus obtained, at least choices priors matter density curvature parameters redshift intervals.