Triage of the Sign Problem

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Invited talk at the workshop "Random Matrix Theory: From fundamental physics to applications", Krakow, 2007

Scientific paper

We discuss the sign problem in QCD at nonzero chemical potential and its relation with chiral symmetry breaking and the spectrum of the Dirac operator using the framework of chiral random matrix theory. We show that the Banks-Casher formula is not valid for theories with a sign problem and has to be replaced by an alternative mechanism that is worked out in detail for QCD in one dimension at nonzero chemical potential.

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