Critical Scaling at Zero Virtuality in QCD
arXiv:hep-ph/9804244 · doi:10.1016/S0370-2693(98)01498-1
Abstract
We show that at the critical point of chiral random matrix models, novel scaling laws for the inverse moments of the eigenvalues are expected. We evaluate explicitly the pertinent microscopic spectral density, and found it in agreement with numerical calculations. We suggest that similar sum rules are of relevance to QCD at the critical temperature, and even above if the transition is amenable to a Landau-Ginzburg description.
4 pages with 3 eps figures included; small changes, typos corrected
References in corpus (1)
Cited by in corpus (19)
- Random Matrix Theory and Chiral Symmetry in QCD
- Large N_c confinement and turbulence
- Universal shocks in random matrix theory
- Multiplying unitary random matrices - universality and spectral properties
- The Higher-Order Heat-Type Equations via signed Lévy stable and generalized Airy functions
- New Multicritical Random Matrix Ensembles
- Effects of Topology in the Dirac Spectrum of Staggered Fermions
- Burgers-like equation for spontaneous breakdown of the chiral symmetry in QCD
- Sum Rules for the Dirac Spectrum of the Schwinger Model
- Divergent chiral condensate in the quenched Schwinger model
- Exact and explicit evaluation of Brezin-Hikami kernels
- Dirac eigenvalues and eigenvectors at finite temperature
- Multicritical Matrix Models and the Chiral Phase Transition
- Randomness on the Lattice
- Universal microscopic spectrum of the unquenched QCD Dirac operator at finite temperature
- Chiral Random Matrix Models in QCD
- Narain transform for spectral deformations of random matrix models
- Three-Parametric Marcenko-Pastur Density
- Functional Equations Solving Initial-Value Problems of Complex Burgers-Type Equations for One-Dimensional Log-Gases