2005/01/26 by James C. Osborn, J. C. Osborn, K. Splittorff +1 · 87 citations
Mathematics · Physics and Astronomy · #Amplitude #Baryon #Chiral symmetry #Chiral symmetry breaking #Cold Atom Physics and Bose-Einstein Condensates #Dirac (video compression format) #Dirac operator #Discontinuity (linguistics) #Eigenvalues and eigenvectors #High-Energy Particle Collisions Research #Mathematical physics #Operator (biology) #Particle physics #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Spectrum (functional analysis) #Symmetry (geometry) #cond-mat.dis-nn #hep-lat #hep-ph #hep-th #math-ph #math.MP #nucl-th
paper · pdf · doi:10.1103/physrevlett.94.202001
published in Physical Review Letters 94(20), 202001 (American Physical Society) · 4 pages, 1 figure
arxiv created 2005/01/26 · openalex publication_date 2005/05/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 = L4. 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 approximately 1/L.