Orthogonal polynomials and exact correlation functions for two cut random matrix models

DOI10.1016/S0550-3213(97)00561-0zbMath0925.60129arXivcond-mat/9703136OpenAlexW3104183669MaRDI QIDQ1367584

Nivedita Deo

Publication date: 24 September 1997

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/9703136

zbMATH Keywords

eigenvalue distributionrecurrence relationpartition functionsasymptotic formpolynomial potentials\(\mathbb{Z}{}_2\) symmetric distributioneigenvalue correlation functionslarge N hermitian one matrix models

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44)

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Cites Work

• Brownian-motion model of discrete spectra
• Universality of the correlations between eigenvalues of large random matrices.
• Symmetry breaking in the double-well Hermitian matrix models
• Exact results for quantum chaotic systems and one-dimensional fermions from matrix models.
• UNIVERSAL CORRELATIONS IN RANDOM MATRICES: QUANTUM CHAOS, THE 1/r² INTEGRABLE MODEL, AND QUANTUM GRAVITY
• New universal spectral correlators

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