Chiral condensate at nonzero chemical potential in the microscopic limit of QCD
- Argonne Leadership Computing Facility, 9700 South Cass Avenue, Argonne, Illinois 60439 (United States)
- Niels Bohr Institute, Blegdamsvej 17, DK-2100, Copenhagen O (Denmark)
- Department of Physics and Astronomy, SUNY, Stony Brook, New York 11794 (United States)
The 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.
- OSTI ID:
- 21254183
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 78, Issue 6; Other Information: DOI: 10.1103/PhysRevD.78.065029; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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