2009/12/31 by Takuya Kanazawa, Tilo Wettig, Naoki Yamamoto · 1 citation
Mathematics · Physics and Astronomy · #Eigenvalues and eigenvectors #Hermitian matrix #Mathematical physics #Mathematics #Matrix (chemical analysis) #Partition function (quantum field theory) #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chaos and dynamical systems #Quantum chromodynamics #Quantum mechanics #Random Matrices and Applications #Random matrix #hep-lat #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.81.081701
published as Phys.Rev.D81:081701,2010 · 5 pages, no figure; v2. minor changes and text improvements, the version published in Phys. Rev. D
openalex publication_date 2010/04/19 · arxiv created 2010/04/21 · arxiv updated 2010/04/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We identify a non-Hermitian chiral random matrix theory that corresponds to two-color QCD at high density. We show that the partition function of the random matrix theory coincides with the partition function of the finite-volume effective theory at high density, and that the Leutwyler-Smilga-type spectral sum rules of the random matrix theory are identical to those derived from the effective theory. The microscopic Dirac spectrum of the theory is governed by the BCS gap, rather than the conventional chiral condensate. We also show that with a different choice of a parameter the random matrix theory yields the effective partition function at low density.