RECONSTRUCTING THE POTENTIALS FOR THE QUINTESSENCE AND TACHYON DARK ENERGY, FROM THE HOLOGRAPHIC PRINCIPLE

We propose holographic quintessence and tachyon models of dark energy. The correspondence between the quintessence and tachyon energy densities with the holographic density allows the reconstruction of the potentials and the dynamics for the quintessence and tachyon fields, in the flat FRW background. The proposed infrared cutoff or the holographic energy density works for two cases of the constant alpha: for alpha < 1 we reconstruct the holographic quintessence model in the region before the omega = -1 crossing for the EoS parameter. The cosmological dynamics for alpha > 1 is also reconstructed for the holographic quintessence and tachyon models.