Handbook Article on Applications of Random Matrix Theory to QCD
arXiv:0910.4134
Abstract
In this chapter of the Oxford Handbook of Random Matrix Theory we introduce chiral Random Matrix Theories with the global symmetries of QCD. In the microscopic domain, these theories reproduce the mass and chemical potential dependence of QCD. The main focus of this chapter is on the spectral properties of the QCD Dirac operator and relations between chiral Random Matrix Theories and chiral Lagrangians. Both spectra of the anti-hermitian Dirac operator and spectra of the nonhermitian Dirac operator at nonzero chemical potential are discussed.
31 pages, 5 figures. Invited article for the Oxford Handbook of Random Matrix Theory
References in corpus (6)
- Dense QCD in a Finite Volume
- Random matrix analysis of the QCD sign problem for general topology
- Chiral Condensate at Nonzero Chemical Potential in the Microscopic Limit of QCD
- Phase Diagram of the Dirac Spectrum at Nonzero Chemical Potential
- Complex Burgers' equation in 2D SU(N) YM
- Nonhermitian Supersymmetric Partition Functions: the case of one bosonic flavor