A new chiral two-matrix theory for Dirac spectra with imaginary chemical potential
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Publication:881336
DOI10.1016/j.nuclphysb.2006.12.016zbMath1117.81110arXivhep-th/0609059OpenAlexW2120757754MaRDI QIDQ881336
J. C. Osborn, Poul H. Damgaard, Kim Splittorff, Gernot Akemann
Publication date: 22 May 2007
Published in: Nuclear Physics. B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/0609059
Nuclear physics (81V35) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)
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Cites Work
- Factorization of correlation functions and the replica limit of the Toda lattice equation
- On matrix model partition functions for QCD with chemical potential
- The replica method and Toda lattice equations for \(\text{QCD}_3\)
- Massive partition functions and complex eigenvalue correlations in matrix models with symplectic symmetry
- QCD with bosonic quarks at nonzero chemical potential
- A method of integration over matrix variables
- Universality of random matrices in the microscopic limit and the Dirac operator spectrum
- Universal spectral correlators and massive Dirac operators
- Differential systems for biorthogonal polynomials appearing in 2-Matrix models and the associated Riemann-Hilbert problem
- Characteristic polynomials of complex random matrix models
- Microscopic universality of complex matrix model correlation functions at weak non-Hermiticity
- Almost-Hermitian random matrices: Eigenvalue density in the complex plane
- Overlap Dirac Operator at Nonzero Chemical Potential and Random Matrix Theory
- Mixed correlation functions of the two-matrix model
- Matrices coupled in a chain: I. Eigenvalue correlations
- The planar approximation. II