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

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

1996-07-25

arxiv.org/abs/hep-lat/9607060v1

Nucl.Phys.Proc.Suppl. 53 (1997) 469-471

Physics

High Energy Physics

High Energy Physics - Lattice

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

Scientific paper

10.1016/S0920-5632(96)00690-1

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 $n\to0$ 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.

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