  We show that at sufficiently large chemical potential SU(N) lattice gauge
theories in the strong coupling limit with staggered fermions are in a chirally
symmetric phase. The proof employs a polymer cluster expansion which exploits
the anisotropy between timelike and spacelike directions in the presence of a
quark chemical potential $\mu$. The expansion is shown to converge in the
infinite volume limit at any temperature for sufficiently large $\mu$. All
expectations of chirally non-invariant local fermion operators vanish
identically, or, equivalently, their correlations cluster exponentially, within
the expansion. The expansion itself may serve as a computational tool at large
$\mu$ and strong coupling.
