Dirac operator as a random matrix and the quenched limit of QCD with chemical potential

Abstract

The behavior of quenched QCD at nonzero chemical potential $\mu$ has been a long-standing puzzle. An explicit solution is found using the random matrix approach to chiral symmetry breaking. At nonzero $\mu$ the quenched QCD is not a simple $n\to 0$ 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 $2n$ quarks: $n$ quarks with original action and $n$ quarks with conjugate action.

3 pages, espcrc, 2 figures. Talk presented at LATTICE96(finite temperature)

References in corpus (1)

• Random matrix model of QCD at finite density and the nature of the quenched limit

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