On matrix model partition functions for QCD with chemical potential

DOI10.1016/j.nuclphysb.2004.06.017zbMath1151.81399arXivhep-th/0404063OpenAlexW2084926031MaRDI QIDQ874163

Gernot Akemann, Graziano Vernizzi, Yan. V. Fyodorov

Publication date: 5 April 2007

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

Full work available at URL: https://arxiv.org/abs/hep-th/0404063

Mathematics Subject Classification ID

Strong interaction, including quantum chromodynamics (81V05) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41)

Related Items (8)

Unquenched QCD Dirac operator spectra at nonzero baryon chemical potential ⋮ The complex Laguerre symplectic ensemble of non-Hermitian matrices ⋮ A new chiral two-matrix theory for Dirac spectra with imaginary chemical potential ⋮ Massive partition functions and complex eigenvalue correlations in matrix models with symplectic symmetry ⋮ QCD with bosonic quarks at nonzero chemical potential ⋮ Characteristic polynomials of random truncations: Moments, duality and asymptotics ⋮ Equivalence of QCD in the \(\epsilon\)-regime and chiral random matrix theory with or without chemical potential ⋮ MATRIX MODELS AND QCD WITH CHEMICAL POTENTIAL

Cites Work

• Unnamed Item
• Unnamed Item
• Distributions of Dirac operator eigenvalues
• Universality of random matrices in the microscopic limit and the Dirac operator spectrum
• Universal random matrix correlations of ratios of characteristic polynomials at the spectral edges
• Universal results for correlations of characteristic polynomials: Riemann-Hilbert approach
• Universality for eigenvalue correlations at the origin of the spectrum
• Characteristic polynomials of complex random matrix models
• The microscopic spectral density of the QCD Dirac operator
• On correlation functions of characteristic polynomials for chiral Gaussian unitary ensemble
• Microscopic universality of complex matrix model correlation functions at weak non-Hermiticity
• Replica Field Theories, Painlevé Transcendents, and Exact Correlation Functions
• Replica Limit of the Toda Lattice Equation
• Generalizations of some integrals over the unitary group
• An exact formula for general spectral correlation function of random Hermitian matrices
• Random matrices close to Hermitian or unitary: overview of methods and results
• The solution of a chiral random matrix model with complex eigenvalues
• Almost Hermitian Random Matrices: Crossover from Wigner-Dyson to Ginibre Eigenvalue Statistics
• Products and ratios of characteristic polynomials of random Hermitian matrices
• An Itzykson–Zuber-like integral and diffusion for complex ordinary and supermatrices
• Statistical properties of the spectrum of the QCD Dirac operator at low energy
• QCD, Wick's theorem for KdV \(\tau\)-functions and the string equation
• Application of the \(\tau\)-function theory of Painlevé equations to random matrices: PIV, PII and the GUE.
• Characteristic polynomials of random matrices.
• Random matrix theory and \(\zeta(1/2+it)\).
• Negative moments of characteristic polynomials of random matrices: Ingham-Siegel integral as an alternative to Hubbard-Stratonovich transformation

This page was built for publication: On matrix model partition functions for QCD with chemical potential