  We show that the condensates of a non-abelian gauge group, unified with the
standard model gauge groups, can parameterize the present day cosmological
constant and play the role of quintessence. The models agree with SN1a and
recent CMB analysis.
  These models have {\it no free} parameters. Even the initial energy density
at the unification scale and at the condensation scale are fixed by the number
of degrees of freedom of the gauge group (i.e. by $N_c, N_f$). The values of
$N_c, N_f$ are determined by imposing gauge coupling unification and the number
of models is quite limited. Using Affleck-Dine-Seiberg superpotential one
obtains a scalar potential $V=\Lm_c^{4+n}\phi^{-n}$. Models with $2<n<4.27$ or
equivalently $2\times 10^{-2} GeV < \Lm_c < 6 \times 10^3 GeV$ do not satisfy
the unification constrain. In fact, there are only three models and they have
an inverse power potential with $6/11 \leq n \leq 2/3$. Imposing primordial
nucleosynthesis bounds the preferred model has $N_c=3, N_f=6$, with $n=2/3$, a
condensation scale $\Lm_c=4.2\times 10^{-8} GeV$ and $\wpo=-0.90$ with an
average value $\weff=-0.93$. Notice that the tracker solution is not a good
approximation since it has $w_{tr}=-\fr{2}{n+2}=-0.75$ for $n=2/3$.
  We study the evolution of all fields from the unification scale and we
calculate the relevant cosmological quantities. We also discuss the
supersymmetry breaking mechanism which is relevant for these models.
