68 citations · 71 across the 3 of their papers we have counts for
6 papers
Two-colour Lattice QCD with dynamical fermions at non-zero density versus Matrix Models
Gernot Akemann, Elmar Bittner
We provide first evidence that Matrix Models describe the low lying complex Dirac eigenvalues in a theory with dynamical fermions at non-zero density. Lattice data for gauge group…
Statistics of Real Eigenvalues in Ginibre's Ensemble of Random Real Matrices
Eugene Kanzieper, Gernot Akemann
The integrable structure of Ginibre's Orthogonal Ensemble of random matrices is looked at through the prism of the probability "p_{n,k}" to find exactly "k" real eigenvalues in the…
Equivalence of Matrix Models for Complex QCD Dirac Spectra
G. Akemann
Two different matrix models for QCD with a non-vanishing quark chemical potential are shown to be equivalent by mapping the corresponding partition functions. The equivalence holds…
Correlations for non-Hermitian Dirac operators: chemical potential in three-dimensional QCD
G. Akemann
In the presence of a non-vanishing chemical potential the eigenvalues of the Dirac operator become complex. We use a random matrix model approach to calculate analytically all corr…
Microscopic and Bulk Spectra of Dirac Operators from Finite-Volume Partition Functions
G. Akemann
The microscopic spectrum of the QCD Dirac operator is shown to obey random matrix model statistics in the bulk region of the spectrum close to the origin using finite-volume partit…
Loop equations for multi-cut matrix models
Gernot Akemann
The loop equation for the complex one-matrix model with a multi-cut structure is derived and solved in the planar limit. An iterative scheme for higher genus contributions to the f…