Statistical properties of the spectrum of the QCD Dirac operator at low energy

DOI10.1016/S0550-3213(01)00093-1zbMath0983.81102arXivhep-th/0012144MaRDI QIDQ5936713

Jacobus J. M. Verbaarschot, Dominique Toublan

Publication date: 4 July 2001

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0012144

zbMATH Keywords

low-energy effective field theorypartially quenched chiral perturbation theorytwo-point spectral correlation function

Mathematics Subject Classification ID

Strong interaction, including quantum chromodynamics (81V05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (15)

The gradient flow of the Dirac spectrum ⋮ U (1) axial symmetry and Dirac spectra in QCD at high temperature ⋮ Individual eigenvalue distributions for the Wilson Dirac operator ⋮ Factorization of correlation functions and the replica limit of the Toda lattice equation ⋮ On matrix model partition functions for QCD with chemical potential ⋮ Supersymmetric quenching of the Toda lattice equation ⋮ Equivalence of QCD in the \(\epsilon\)-regime and chiral random matrix theory with or without chemical potential ⋮ Perspectives on relativistic quantum chaos ⋮ Random matrix theory for the Hermitian Wilson Dirac operator and the chGUE-GUE transition ⋮ Finite-size scaling of meson propagators ⋮ Universal microscopic spectrum of the unquenched QCD Dirac operator at finite temperature ⋮ MATRIX MODELS AND QCD WITH CHEMICAL POTENTIAL ⋮ The microscopic Dirac operator spectrum ⋮ Patterns of spontaneous chiral symmetry breaking in vectorlike gauge theories ⋮ Finite-size scaling of vector and axial current correlators

Cites Work

• Universality of random matrices in the microscopic limit and the Dirac operator spectrum
• Universal spectral correlations of the Dirac operator at finite temperature
• Universality of correlation functions in random matrix models of QCD
• The microscopic spectral density of the QCD Dirac operator
• Topology and the Dirac operator spectrum in finite-volume gauge theories
• The spectral density of the QCD Dirac operator and patterns of chiral symmetry breaking
• Spectral sum rules of the Dirac operator and partially quenched chiral condensates.
• The replica limit of unitary matrix integrals
• Nonlinear \(\sigma\)-model for gauge field disorder
• Correlations between eigenvalues of a random matrix
• On a class of analytic functions from the quantum theory of collisions
• Universality in Chiral Random Matrix Theory at<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>β</mml:mi><mml:mspace /><mml:mo>=</mml:mo><mml:mspace /><mml:mn>1</mml:mn><mml:mn /></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>β</mml:mi><mml:mspace /><mml:mo>=</mml:mo><mml:mspace /><mml:mn>4</mml:mn><mml:mn /></mml:math>
• Statistical Theory of the Energy Levels of Complex Systems. IV
• Random Matrices and Supersymmetry in Disordered Systems
• On finite-volume gauge theory partition functions
• Universal and non-universal behavior in Dirac spectra

This page was built for publication: Statistical properties of the spectrum of the QCD Dirac operator at low energy