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Macroscopic Universality : Why QCD in Matter is Subtle?

Romuald A. Janik, Maciej A. Nowak, Gábor Papp, Ismail Zahed

hep-pharXiv:hep-ph/9606329

Abstract

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

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