Massive partition functions and complex eigenvalue correlations in matrix models with symplectic symmetry

DOI10.1016/j.nuclphysb.2006.12.008zbMath1117.81109arXivmath-ph/0606060OpenAlexW1971769699MaRDI QIDQ881339

Francesco Basile, 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/math-ph/0606060

Mathematics Subject Classification ID

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) Random matrices (algebraic aspects) (15B52) Symplectic structures of moduli spaces (53D30)

Related Items (11)

A new chiral two-matrix theory for Dirac spectra with imaginary chemical potential ⋮ Pfaffian point process for the Gaussian real generalised eigenvalue problem ⋮ On the almost‐circular symplectic induced Ginibre ensemble ⋮ Spherical induced ensembles with symplectic symmetry ⋮ An induced real quaternion spherical ensemble of random matrices ⋮ Random matrix theory of unquenched two-colour QCD with nonzero chemical potential ⋮ Integrable structure of Ginibre's ensemble of real random matrices and a Pfaffian integration theorem ⋮ The interpolating Airy kernels for the \(\beta=1\) and \(\beta=4\) elliptic Ginibre ensembles ⋮ On the determinantal structure of conditional overlaps for the complex Ginibre ensemble ⋮ Skew-orthogonal polynomials in the complex plane and their Bergman-like kernels ⋮ Scaling limits of planar symplectic ensembles

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