Random Matrix Theory and Three-Dimensional QCD
- 24 October 1994
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 73 (17) , 2288-2291
- https://doi.org/10.1103/physrevlett.73.2288
Abstract
We suggest that the special properties near zero virtuality of three-dimensional QCD follow from a Hermitian random matrix model. The exact spectral density is derived for this family of random matrix models for both an even and odd number of fermions. New sum rules for the inverse powers of the eigenvalues of the Dirac operator are obtained. The issue of anomalies in random matrix theories is discussed.Keywords
All Related Versions
This publication has 19 references indexed in Scilit:
- Phase transitions and mass generation in 2+1 dimensionsPhysical Review D, 1994
- Spectrum of the QCD Dirac operator and chiral random matrix theoryPhysical Review Letters, 1994
- Spectral density of the QCD Dirac operator near zero virtualityPhysical Review Letters, 1993
- Current algebra in three dimensionsPhysical Review Letters, 1992
- New phase of quantum electrodynamics: A nonperturbative fixed point in four dimensionsPhysical Review Letters, 1988
- Critical behavior of disordered degenerate semiconductors. I. Models, symmetries, and formalismPhysical Review B, 1986
- Grassmann integration in stochastic quantum physics: The case of compound-nucleus scatteringPhysics Reports, 1985
- High-temperature Yang-Mills theories and three-dimensional quantum chromodynamicsPhysical Review D, 1981
- How super-renormalizable interactions cure their infrared divergencesPhysical Review D, 1981
- Chiral-Symmetry Breakdown in Large-ChromodynamicsPhysical Review Letters, 1980