  In QCD at high density, the color-octet quark-antiquark condensate
$\langle\overline\psi\gamma_0(\lambda^A)_C (\lambda^A)_F\psi\rangle$ is
generally nonzero and dynamically breaks the $\mathrm{SU}(3)_C\times
\mathrm{SU}(3)_L\times\mathrm{SU}(3)_R$ symmetry down to the diagonal
$\mathrm{SU}(3)_V$. We evaluate this condensate in the mean-field approximation
and find that it is of order $\mu\Delta^2\log(\mu/\Delta)$ where $\Delta$ is
the BCS gap of quarks. Next we propose a novel non-Hermitian chiral random
matrix theory that describes the formation of colorful quark-antiquark
condensates. We take the microscopic large-$N$ limit and find that three phases
appear depending on the parameter of the model. They are the color-flavor
locked phase, the polar phase, and the normal phase. We rigorously derive the
effective theory of Nambu-Goldstone modes and determine the quark-mass
dependence of the partition function.
