Gaussian Processes Reconstruction of the Dark Energy Potential
  Scalar Fields (SF) have emerged as natural candidates for dark energy from
quintessential fields and dark energy models. Therefore, SF can be considered
an obvious pathway to suggest one solution for this problem. Instead of
assuming some form for the scalar field potential, however, this work
reconstructs the SF potential directly from observational data, namely, Hubble
data and SNe Ia. We show that two popular forms for the SF potentials, namely,
the power-law and the quadratic free-field, are compatible with the
reconstructions thus obtained, at least for some choices of the priors of the
matter density and curvature parameters and for some redshift intervals.
