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We use a chiral random matrix model with 2N_f flavors to mock up the QCDDirac spectrum at finite chemical potential. We show that the 1/N approximationbreaks down in the quenched state with spontaneously broken chiral symmetry.The breakdown condition is set by the divergence of a two-point function, thatis shown to follow the general lore of macroscopic universality. In this state,the fermionic fluctuations are not suppressed in the large N limit.

Macroscopic Universality: Why QCD in Matter is Subtle