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We show that at sufficiently large chemical potential SU(N) lattice gaugetheories in the strong coupling limit with staggered fermions are in a chirallysymmetric phase. The proof employs a polymer cluster expansion which exploitsthe anisotropy between timelike and spacelike directions in the presence of aquark chemical potential $\mu$. The expansion is shown to converge in theinfinite volume limit at any temperature for sufficiently large $\mu$. Allexpectations of chirally non-invariant local fermion operators vanishidentically, or, equivalently, their correlations cluster exponentially, withinthe expansion. The expansion itself may serve as a computational tool at large$\mu$ and strong coupling.

Chiral symmetry restoration at large chemical potential in strongly coupled SU(N) gauge theories