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arxiv: hep-th/9405005 · v1 · submitted 1994-05-02 · ✦ hep-th · cond-mat

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Random matrix theory and QCD₃

J.J.M. Verbaarschot , I. Zahed
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classification ✦ hep-th cond-mat
keywords matrixrandomspectralanomaliesdensityderiveddimensionaldirac
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We suggest that the spectral properties near zero virtuality of three dimensional QCD, follow from a Hermitean random matrix model. The exact spectral density is derived for this family of random matrix models both for even and odd number of fermions. New sum rules for the inverse powers of the eigenvalues of the Dirac operator are obtained. The issue of anomalies in random matrix theories is discussed.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Derivative relations for determinants, Pfaffians and characteristic polynomials in random matrix theory

    math-ph 2026-03 unverdicted novelty 6.0

    Explicit expressions are proven for higher-order and mixed derivatives of determinant and Pfaffian ratios over Vandermonde determinants in random matrix theory.