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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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hep-lat2012

Finite volume corrections to LECs in Wilson and staggered ChPT

Gernot Akemann, Fabrizio Pucci

We study the simultaneous effect of finite volume and finite lattice spacing corrections in the framework of chiral perturbation theory (ChPT) in the epsilon regime, for both the W…

hep-lat2012★ 1 cited

Exploring the Aoki regime

Gernot Akemann, Fabrizio Pucci

We compute next-to-leading order (NLO) corrections in the ε-regime of Wilson (WChPT) and Staggered Chiral Perturbation Theory (SChPT). A difference between the two is that in WChPT…

hep-lat2012★ 8 cited

Individual Eigenvalue Distributions for the Wilson Dirac Operator

G. Akemann, A. C. Ipsen

We derive the distributions of individual eigenvalues for the Hermitian Wilson Dirac Operator D5 as well as for real eigenvalues of the Wilson Dirac Operator DW. The framework we p…

hep-lat2011★ 2 cited

The k-th Smallest Dirac Operator Eigenvalue and the Pion Decay Constant

G. Akemann, A. C. Ipsen

We derive an analytical expression for the distribution of the k-th smallest Dirac eigenvalue in QCD with imaginary isospin chemical potential in the Dirac operator. Because of its…

hep-lat2010★ 32 cited

Random matrix theory of unquenched two-colour QCD with nonzero chemical potential

G. Akemann, T. Kanazawa, M. J. Phillips +1

We solve a random two-matrix model with two real asymmetric matrices whose primary purpose is to describe certain aspects of quantum chromodynamics with two colours and dynamical f…

hep-lat2010

Effects of dynamical quarks on the spectrum of the Wilson Dirac operator

G. Akemann, P. H. Damgaard, K. Splittorff +1

Effects of dynamical quarks on the microscopic spectrum of the Wilson Dirac operator are analyzed by means of effective field theory. We consider the distributions of the real mode…