The replica limit of unitary matrix integrals

DOI10.1016/S0550-3213(00)00571-XzbMath0971.81554arXivhep-th/0005229MaRDI QIDQ1587468

D. Dalmazi, Jacobus J. M. Verbaarschot

Publication date: 28 November 2000

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

Full work available at URL: https://arxiv.org/abs/hep-th/0005229

zbMATH Keywords

QCD partition functionEuclidean QCD Dirac operatormicroscopic spectral density

Mathematics Subject Classification ID

Strong interaction, including quantum chromodynamics (81V05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

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Factorization of correlation functions and the replica limit of the Toda lattice equation ⋮ Supersymmetric quenching of the Toda lattice equation ⋮ The replica method and Toda lattice equations for \(\text{QCD}_3\) ⋮ Unquenched QCD Dirac operator spectra at nonzero baryon chemical potential ⋮ QCD with bosonic quarks at nonzero chemical potential ⋮ Universal random matrix correlations of ratios of characteristic polynomials at the spectral edges ⋮ Equivalence of QCD in the \(\epsilon\)-regime and chiral random matrix theory with or without chemical potential ⋮ Statistical properties of the spectrum of the QCD Dirac operator at low energy ⋮ Quenched finite volume logarithms ⋮ Negative moments of characteristic polynomials of random matrices: Ingham-Siegel integral as an alternative to Hubbard-Stratonovich transformation ⋮ Finite-size scaling of meson propagators ⋮ Replica Field Theories, Painlevé Transcendents, and Exact Correlation Functions ⋮ Replica Limit of the Toda Lattice Equation ⋮ On correlation functions of characteristic polynomials for chiral Gaussian unitary ensemble ⋮ The microscopic Dirac operator spectrum ⋮ Finite-size scaling of vector and axial current correlators

Cites Work

• Unnamed Item
• On the variation in the cohomology of the symplectic form of the reduced phase space
• Addendum to ``On the variation in the cohomology of the symplectic form of the reduced phase space
• Universality of random matrices in the microscopic limit and the Dirac operator spectrum
• Supersymmetry applied to the spectrum edge of random matrix ensembles
• The microscopic spectral density of the QCD Dirac operator
• The spectral density of the QCD Dirac operator and patterns of chiral symmetry breaking
• Spectral sum rules of the Dirac operator and partially quenched chiral condensates.
• UNITARY MATRIX INTEGRALS IN THE FRAMEWORK OF THE GENERALIZED KONTSEVICH MODEL
• The eigenvalue spectrum of a large symmetric random matrix
• Supersymmetry in Disorder and Chaos
• Wigner-Dyson statistics from the replica method
• Riemannian symmetric superspaces and their origin in random-matrix theory