Chiral Condensate at Nonzero Chemical Potential in the Microscopic Limit of QCD

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dc.creatorOsborn, J. C.
dc.creatorSplittorff, K.
dc.creatorVerbaarschot, J. J. M.
dc.date2008-05-09
dc.date2008-08-12
dc.date.accessioned2026-07-07T12:44:35Z
dc.date.available2026-07-07T12:44:35Z
dc.descriptionThe chiral condensate in QCD at zero temperature does not depend on the quark chemical potential (up to one third the nucleon mass), whereas the spectral density of the Dirac operator shows a strong dependence on the chemical potential. The cancellations which make this possible also occur on the microscopic scale, where they can be investigated by means of a random matrix model. We show that they can be understood in terms of orthogonality properties of orthogonal polynomials. In the strong non-Hermiticity limit they are related to integrability properties of the spectral density. As a by-product we find exact analytical expressions for the partially quenched chiral condensate in the microscopic domain at nonzero chemical potential.
dc.description29 pages, 5 figures, version to appear in PRD
dc.identifierhttps://arxiv.org/abs/0805.1303
dc.identifierhttp://arxiv.org/abs/0805.1303
dc.identifierPhys.Rev.D78:065029,2008
dc.identifierdoi:10.1103/PhysRevD.78.065029
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/220816
dc.subjectHigh Energy Physics - Theory
dc.subjectHigh Energy Physics - Lattice
dc.subjectMathematical Physics
dc.titleChiral Condensate at Nonzero Chemical Potential in the Microscopic Limit of QCD
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