Chiral Symmetry Breaking and the Dirac Spectrum at Nonzero Chemical Potential

Journal Article · Fri May 27 04:00:00 EDT 2005 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.94.202001· OSTI ID:20696301

Osborn, J C ^[1]; Splittorff, K ^[2]; Verbaarschot, J J.M. ^[3]

---

1. Physics Department, Boston University, Boston, Massachusetts 02215 (United States)
2. Nordita, Blegdamsvej 17, DK-2100, Copenhagen O (Denmark)
3. Department of Physics and Astronomy, SUNY, Stony Brook, New York 11794 (United States)

The relation between the spectral density of the QCD Dirac operator at nonzero baryon chemical potential and the chiral condensate is investigated. We use the analytical result for the eigenvalue density in the microscopic regime which shows oscillations with a period that scales as 1/V and an amplitude that diverges exponentially with the volume V=L{sup 4}. We find that the discontinuity of the chiral condensate is due to the whole oscillating region rather than to an accumulation of eigenvalues at the origin. These results also extend beyond the microscopic regime to chemical potentials {mu}{approx}1/L.

• OSTI ID: 20696301
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 20 Vol. 94; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BARYONS
CHIRAL SYMMETRY
CHIRALITY
DIRAC OPERATORS
EIGENVALUES
POTENTIALS
QUANTUM CHROMODYNAMICS
SPECTRAL DENSITY
SYMMETRY BREAKING