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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 …
Recent exact and asymptotic results for products of independent random matrices
G Akemann, JR Ipsen - arxiv preprint arxiv:1502.01667, 2015 - arxiv.org
In this review we summarise recent results for the complex eigenvalues and singular values
of finite products of finite size random matrices, their correlation functions and asymptotic …
of finite products of finite size random matrices, their correlation functions and asymptotic …
Symmetry classification of many-body Lindbladians: Tenfold way and beyond
We perform a systematic symmetry classification of many-body Lindblad superoperators
describing general (interacting) open quantum systems coupled to a Markovian …
describing general (interacting) open quantum systems coupled to a Markovian …
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 …
Functional integrals for QCD at nonzero chemical potential and zero density
TD Cohen - Physical review letters, 2003 - APS
In a Euclidean space functional integral treatment of the free energy of QCD, a chemical
potential enters only through the functional determinant of the Dirac operator which for any …
potential enters only through the functional determinant of the Dirac operator which for any …
Renormalization and running of quark mass and field in the regularization invariant and MS schemes at three and four loops
KG Chetyrkin, A Retey - Nuclear Physics B, 2000 - Elsevier
We derive explicit transformation formulae relating the renormalized quark mass and field as
defined in the MS-scheme with the corresponding quantities defined in any other scheme …
defined in the MS-scheme with the corresponding quantities defined in any other scheme …
Nonperturbative investigations of SU (3) gauge theory with eight dynamical flavors
We present our lattice studies of SU (3) gauge theory with N f= 8 degenerate fermions in the
fundamental representation. Using nHYP-smeared staggered fermions we study finite …
fundamental representation. Using nHYP-smeared staggered fermions we study finite …
From chiral random matrix theory to chiral perturbation theory
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
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 …
Generation of matrix models by Ŵ-operators
A Morozov, S Shakirov - Journal of High Energy Physics, 2009 - iopscience.iop.org
We show that partition functions of various matrix models can be obtained by acting on
elementary functions with exponents of Ŵ operators. A number of illustrations is given …
elementary functions with exponents of Ŵ operators. A number of illustrations is given …