Random-matrix theories in quantum physics: common concepts
T Guhr, A Müller–Groeling, HA Weidenmüller - Physics Reports, 1998 - Elsevier
We review the development of random-matrix theory (RMT) during the last fifteen years. We
emphasize both the theoretical aspects, and the application of the theory to a number of …
emphasize both the theoretical aspects, and the application of the theory to a number of …
Random matrix theory and chiral symmetry in QCD
JJM Verbaarschot, T Wettig - Annual Review of Nuclear and …, 2000 - annualreviews.org
▪ 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 …
eigenvalues of complex systems. It also may serve as a schematic model for disorder in …
Phase diagram of QCD
We analyze the phase diagram of QCD with two massless quark flavors in the space of
temperature T and chemical potential of the baryon charge μ using available experimental …
temperature T and chemical potential of the baryon charge μ using available experimental …
From chiral random matrix theory to chiral perturbation theory
JC Osborn, D Toublan, JJM Verbaarschot - Nuclear Physics B, 1999 - Elsevier
We study the spectrum of the QCD Dirac operator by means of the valence quark mass
dependence of the chiral condensate in partially quenched Chiral Perturbation Theory …
dependence of the chiral condensate in partially quenched Chiral Perturbation Theory …
The microscopic spectral density of the QCD Dirac operator
PH Damgaard, JC Osborn, D Toublan… - Nuclear Physics B, 1999 - Elsevier
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 …
theory coupled to Nf fermions in the fundamental representation. An essential technical …
Negative moments of characteristic polynomials of random matrices: Ingham–Siegel integral as an alternative to Hubbard–Stratonovich transformation
YV Fyodorov - Nuclear Physics B, 2002 - Elsevier
We reconsider the problem of calculating arbitrary negative integer moments of the
(regularised) characteristic polynomial for N× N random matrices taken from the Gaussian …
(regularised) characteristic polynomial for N× N random matrices taken from the Gaussian …
Modeling finite-volume effects and chiral symmetry breaking in two-flavor QCD thermodynamics
B Klein - Physics Reports, 2017 - Elsevier
Finite-volume effects in Quantum Chromodynamics (QCD) have been a subject of much
theoretical interest for more than two decades. They are in particular important for the …
theoretical interest for more than two decades. They are in particular important for the …
Character expansions, Itzykson-Zuber integrals, and the QCD partition function
AB Balantekin - Physical Review D, 2000 - APS
A combinatorial formula to generate U (N) character expansions is presented. It is shown
that the resulting character expansion formulas greatly simplify a number of problems where …
that the resulting character expansion formulas greatly simplify a number of problems where …
[HTML][HTML] Unquenched QCD Dirac operator spectra at nonzero baryon chemical potential
The microscopic spectral density of the QCD Dirac operator at nonzero baryon chemical
potential for an arbitrary number of quark flavors was derived recently from a random matrix …
potential for an arbitrary number of quark flavors was derived recently from a random matrix …
Factorization of correlation functions and the replica limit of the Toda lattice equation
K Splittorff, JJM Verbaarschot - Nuclear Physics B, 2004 - Elsevier
Exact microscopic spectral correlation functions are derived by means of the replica limit of
the Toda lattice equation. We consider both Hermitian and non-Hermitian theories in the …
the Toda lattice equation. We consider both Hermitian and non-Hermitian theories in the …