70 citations · 533 across the 26 of their papers we have counts for
11 papers · 1 filter
The solution of a chiral random matrix model with complex eigenvalues
G. Akemann
We describe in detail the solution of the extension of the chiral Gaussian Unitary Ensemble (chGUE) into the complex plane. The correlation functions of the model are first calcula…
Microscopic correlation functions for the QCD Dirac operator with chemical potential
G. Akemann
A chiral random matrix model with complex eigenvalues is solved as an effective model for QCD with non-vanishing chemical potential. We derive new matrix model correlation function…
New Critical Matrix Models and Generalized Universality
G. Akemann, G. Vernizzi
We study a class of one-matrix models with an action containing nonpolynomial terms. By tuning the coupling constants in the action to criticality we obtain that the eigenvalue den…
Microscopic correlations of non-Hermitian Dirac operators in three-dimensional QCD
G. Akemann
In the presence of a non-vanishing chemical potential the eigenvalues of the Dirac operator become complex. We calculate spectral correlation functions of complex eigenvalues using…
QCD3 and the Replica Method
G. Akemann, D. Dalmazi, P. H. Damgaard +1
Using the replica method, we analyze the mass dependence of the QCD3 partition function in a parameter range where the leading contribution is from the zero momentum Goldstone fiel…
Macroscopic and Microscopic (Non-)Universality of Compact Support Random Matrix Theory
G. Akemann, G. Vernizzi
A random matrix model with a sigma-model like constraint, the restricted trace ensemble (RTE), is solved in the large-n limit. In the macroscopic limit the smooth connected two-poi…
Spectra of massive and massless QCD Dirac operators: A novel link
G. Akemann, E. Kanzieper
We show that integrable structure of chiral random matrix models incorporating global symmetries of QCD Dirac operators (labeled by the Dyson index beta=1,2, and 4) leads to emerge…
On Finite-Volume Gauge Theory Partition Functions
G. Akemann, P. H. Damgaard
We prove a Mahoux-Mehta--type theorem for finite-volume partition functions of SU(N_c\geq 3) gauge theories coupled to fermions in the fundamental representation. The large-volume…
Multicritical Matrix Models and the Chiral Phase Transition
G. Akemann
Universality of multicritical unitary matrix models is shown and a new scaling behavior is found in the microscopic region of the spectrum, which may be relevant for the low energy…
Consistency Conditions for Finite-Volume Partition Functions
G. Akemann, P. H. Damgaard
Using relations from random matrix theory, we derive exact expressions for all -point spectral correlation functions of Dirac operator eigenvalues in terms of finite-volume part…
Microscopic Spectra of Dirac Operators and Finite-Volume Partition Functions
G. Akemann, P. H. Damgaard
Exact results from random matrix theory are used to systematically analyse the relationship between microscopic Dirac spectra and finite-volume partition functions. Results are pre…