Predictions of chiral random matrix theory and lattice QCD results

1999/05/17 by Tilo Wettig, Wettig, Tilo
Mathematics · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Quantum Chromodynamics and Particle Interactions #Random Matrices and Applications #Theoretical and Computational Physics #hep-lat

paper · pdf · doi:10.48550/arxiv.hep-lat/9905020

6 pages, 1 figure, invited talk given at ``Understanding Deconfinement in QCD'', ECT* Trento, March 1999

arxiv created 1999/05/17 · openalex publication_date 1999/05/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Chiral random matrix theory makes very detailed predictions for the spectral correlations of the QCD Dirac operator, both in the bulk of the spectrum and near zero virtuality. These predictions have been successfully tested in lattice QCD simulations by several groups. Moreover, the domain of validity of random matrix theory has been predicted theoretically and identified in lattice data. In this talk, the current numerical evidence is reviewed.

Related

• Handbook Article on Applications of Random Matrix Theory to QCD
• Spectral Fluctuations of the QCD Dirac Operator
• On the spectrum of the QCD Dirac operator
• The chiral phase transition, random matrix models, and lattice data
• QCD, Chiral Random Matrix Theory and Integrability