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19952023
most citedUniversality of random matrices in the microscopic limit and the Dirac operator spectrum

199 citations · 2.9k across the 99 of their papers we have counts for

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25 papers · 1 filter

hep-th2009★ 19 cited

The chiral Gaussian two-matrix ensemble of real asymmetric matrices

G. Akemann, M. J. Phillips, H. -J. Sommers

We solve a family of Gaussian two-matrix models with rectangular Nx(N+v) matrices, having real asymmetric matrix elements and depending on a non-Hermiticity parameter mu. Our model…

hep-th2009★ 18 cited

A Wigner Surmise for Hermitian and Non-Hermitian Chiral Random Matrices

G. Akemann, E. Bittner, M. J. Phillips +1

We use the idea of a Wigner surmise to compute approximate distributions of the first eigenvalue in chiral Random Matrix Theory, for both real and complex eigenvalues. Testing agai…

hep-th2008★ 10 cited

Individual Eigenvalue Distributions of Chiral Random Two-Matrix Theory and the Determination of F_pi

G. Akemann, P. H. Damgaard

Dirac operator eigenvalues split into two when subjected to two different external vector sources. In a specific finite-volume scaling regime of gauge theories with fermions, this…

hep-th2007★ 1 cited

Chiral Random Two-Matrix Theory and QCD with imaginary chemical potential

G. Akemann

We summarise recent results for the chiral Random Two-Matrix Theory constructed to describe QCD in the epsilon-regime with imaginary chemical potential. The virtue of this theory i…

hep-th2007★ 37 cited

Equivalence of QCD in the epsilon-regime and chiral Random Matrix Theory with or without chemical potential

Francesco Basile, Gernot Akemann

We prove that QCD in the epsilon-regime of chiral Perturbation Theory is equivalent to chiral Random Matrix Theory for zero and both non-zero real and imaginary chemical potential…

hep-th2007★ 61 cited

Matrix Models and QCD with Chemical Potential

G. Akemann

The Random Matrix Model approach to Quantum Chromodynamics (QCD) with non-vanishing chemical potential is reviewed. The general concept using global symmetries is introduced, as we…