Arbitrary unitarily invariant random matrix ensembles and supersymmetry

DOI10.1088/0305-4470/39/42/002zbMath1206.82051arXivmath-ph/0606014OpenAlexW2029687395MaRDI QIDQ3420530

Thomas Guhr

Publication date: 2 February 2007

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0606014

zbMATH Keywords

supersymmetry methodHubbard-Stratonovich transformationFourier superspace

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44)

Related Items (11)

The correlated Jacobi and the correlated Cauchy-Lorentz ensembles ⋮ Winding number statistics for chiral random matrices: Averaging ratios of determinants with parametric dependence ⋮ Supersymmetry approach to Wishart correlation matrices: exact results ⋮ Correlations of RMT characteristic polynomials and integrability: Hermitean matrices ⋮ Some universal properties for restricted trace Gaussian orthogonal, unitary and symplectic ensembles ⋮ Superbosonization of invariant random matrix ensembles ⋮ Additive matrix convolutions of Pólya ensembles and polynomial ensembles ⋮ Integration of Grassmann variables over invariant functions on flat superspaces ⋮ Fixed trace β-Hermite ensembles: Asymptotic eigenvalue density and the edge of the density ⋮ SUPERBOSONIZATION VIA RIESZ SUPERDISTRIBUTIONS ⋮ Asymptotic coincidence of the statistics for degenerate and non-degenerate correlated real Wishart ensembles

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