Abstract

The behavior of quenched QCD at nonzero chemical potential μ has been a long-standing puzzle. An explicit solution is found using the random matrix approach to chiral symmetry breaking. At nonzero μ the quenched QCD is not a simple n → 0 limit of a theory with n quarks; a naive ‘replica trick’ fails. A limit that leads to the quenched QCD is that of a theory with 2 n quarks: n quarks with original action and n quarks with conjugate action.

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