Spectral sum rules of the Dirac operator and partially quenched chiral condensates.

DOI10.1016/S0550-3213(00)00022-5zbMath1068.81616arXivhep-th/9912146OpenAlexW1963877802MaRDI QIDQ1572552

Poul H. Damgaard, Kim Splittorff

Publication date: 12 July 2000

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

Full work available at URL: https://arxiv.org/abs/hep-th/9912146

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Yang-Mills and other gauge theories in quantum field theory (81T13) Strong interaction, including quantum chromodynamics (81V05)

Related Items

Finite volume and partially quenched QCD-like effective field theories ⋮ Character expansions for the orthogonal and symplectic groups ⋮ Connected and disconnected contractions in pion-pion scattering ⋮ Statistical properties of the spectrum of the QCD Dirac operator at low energy ⋮ The zeros of the QCD partition function ⋮ QCD with two colors at finite baryon density at next-to-leading order ⋮ Mesoscopic QCD and the \(\theta\)-vacua ⋮ Replica Limit of the Toda Lattice Equation ⋮ The replica limit of unitary matrix integrals

Cites Work

• Universality of random matrices in the microscopic limit and the Dirac operator spectrum
• Multicritical microscopic spectral correlators of Hermitian and complex matrices
• Universal spectral correlators and massive Dirac operators
• The microscopic spectral density of the QCD Dirac operator
• The spectrum of the Dirac operator near zero virtuality for \(N_ c=2\) and chiral random matrix theory.
• UNITARY MATRIX INTEGRALS IN THE FRAMEWORK OF THE GENERALIZED KONTSEVICH MODEL
• Random Matrix Theory and Three-Dimensional QCD
• 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>

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