Randomness on the Lattice
arXiv:hep-lat/0008025 · doi:10.1016/S0920-5632(00)00900-2
Abstract
In this lecture we review recent lattice QCD studies of the statistical properties of the eigenvalues of the QCD Dirac operator. We find that the fluctuations of the smallest Dirac eigenvalues are described by chiral Random Matrix Theories with the global symmetries of the QCD partition function. Deviations from chiral Random Matrix Theory beyond the Thouless energy can be understood analytically by means of partially quenched chiral perturbation theory.
Invited talk at the International Light-Cone Meeting on Non-Perturbative QCD and Hadron Phenomenology, Heidelberg 12-17 June 2000. 12 pages, 7 figures, Latex
References in corpus (8)
- QCD-like Theories at Finite Baryon Density
- Non-Hermitian Random Matrix Theory and Lattice QCD with Chemical Potential
- Finite-size scaling of the quark condensate in quenched lattice QCD
- Spectra of massive and massless QCD Dirac operators: A novel link
- Low-lying Eigenvalues of the QCD Dirac Operator at Finite Temperature
- Random Matrix Theory, Chiral Perturbation Theory, and Lattice Data
- Effects of Topology in the Dirac Spectrum of Staggered Fermions
- U(1) staggered Dirac operator and random matrix