  Many theoretical attempts toward reconstructing the potential and dynamics of
the scalar fields have been done in the literature by establishing a connection
between holographic/agegraphic energy density and a scalar field model of dark
energy. However, in most of these cases the analytical form of the potentials
in terms of the scalar field have not been reconstructed due to the complexity
of the equations involved. In this paper, by taking Hubble radius as system's
IR cutoff, we are able to reconstruct the analytical form of the potentials as
a function of scalar field, namely $V=V(\phi)$ as well as the dynamics of the
scalar fields as a function of time, namely $\phi=\phi(t)$ by establishing the
correspondence between holographic energy density and quintessence, tachyon,
K-essence and dilaton energy density in a flat FRW universe. The reconstructed
potentials are quite reasonable and have scaling solutions. Our study further
supports the viability of the holographic dark energy model with Hubble radius
as IR cutoff.
