▪ Abstract Random matrix theory is a powerful way to describe universal correlations of
eigenvalues of complex systems. It also may serve as a schematic model for disorder in …

Quantum field theory is the basis of our modern description of physical phenomena at the
fundamental level. This systematic and comprehensive text emphasizes nonperturbative …

In this review we discuss the relationship between random matrix theories and symmetric
spaces. We show that the integration manifolds of random matrix theories, the eigenvalue …

Building upon Dyson's fundamental 1962 article known in random-matrix theory as the
threefold way, we classify disordered fermion systems with quadratic Hamiltonians by their …

A bstract We present a complete symmetry classification of the Sachdev-Ye-Kitaev (SYK)
model with\(\mathcal {N}\)= 0, 1 and 2 supersymmetry (SUSY) on the basis of the Altland …

We derive the microscopic spectral density of the Dirac operator in SU (Nc⩾ 3) Yang-Mills
theory coupled to Nf fermions in the fundamental representation. An essential technical …

USING STANDARD SYSTE Page 1 Distribution of the kth smallest Dirac operator eigenvalue
Poul H. Damgaard The Niels Bohr Institute, Blegdamsvej 17, DK-2100 Copenhagen O” …

Recently, a conjecture about the local bulk statistics of complex eigenvalues has been made
based on numerics. It claims that there are only three universality classes, which have all …

We derive the large-N spectral correlators of complex matrix ensembles with weights that in
the context of Dirac spectra correspond to N massive fermions, and prove that the results are …

We formulate a random matrix model which mimics the chiral phase transition in QCD with
two light flavors. Two critical exponents are calculated. We obtain the mean-field values β …