Spectral universality of real chiral random matrix ensembles
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Publication:5933266
DOI10.1016/S0550-3213(00)00448-XzbMath0979.82035arXivhep-th/0004119OpenAlexW2059070937MaRDI QIDQ5933266
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Publication date: 14 May 2001
Published in: Nuclear Physics. B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/0004119
universalitymicroscopic eigenvalue correlationsQCD partition functionrandom matrix theoriesskew-orthogonal polynomials
Strong interaction, including quantum chromodynamics (81V05) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41)
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Cites Work
- Unnamed Item
- A method of integration over matrix variables
- A method of integration over matrix variables. III
- Level spacing distributions and the Bessel kernel
- Universality of random matrices in the microscopic limit and the Dirac operator spectrum
- Universal spectral correlations of the Dirac operator at finite temperature
- Universality of correlation functions in random matrix models of QCD
- Universal spectral correlators and massive Dirac operators
- Asymptotic correlations at the spectrum edge of random matrices
- The microscopic spectral density of the QCD Dirac operator
- Logarithmic universality in random matrix theory
- Spectral correlations of the massive QCD Dirac operator at finite temperature
- Correlations for the orthogonal-unitary and symplectic-unitary transitions at the hard and soft edges
- The spectral density of the QCD Dirac operator and patterns of chiral symmetry breaking
- Universality at the edge of the spectrum in Wigner random matrices.
- Semiclassical asymptotics of orthogonal polynomials, Riemann-Hilbert problem, and universality in the matrix model
- On the relation between orthogonal, symplectic and unitary matrix ensembles
- On orthogonal and symplectic matrix ensembles
- The spectrum of the Dirac operator near zero virtuality for \(N_ c=2\) and chiral random matrix theory.
- Correlations between eigenvalues of a random matrix
- On a class of analytic functions from the quantum theory of collisions
- Generic behavior of the density of states in random matrix theory and equilibrium problems in the presence of real analytic external fields
- Eigenvalue Distribution of Random Matrices at the Spectrum Edge
- Universality in Chiral Random Matrix Theory at<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>β</mml:mi><mml:mspace /><mml:mo>=</mml:mo><mml:mspace /><mml:mn>1</mml:mn><mml:mn /></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>β</mml:mi><mml:mspace /><mml:mo>=</mml:mo><mml:mspace /><mml:mn>4</mml:mn><mml:mn /></mml:math>
- Quark Spectra, Topology, and Random Matrix Theory
- Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory
- Riemannian symmetric superspaces and their origin in random-matrix theory
- Characterization of Chaotic Quantum Spectra and Universality of Level Fluctuation Laws
- A Class of Matrix Ensembles
- Effects of topology in the Dirac spectrum of staggered fermions
- On finite-volume gauge theory partition functions
