Lessons from Random Matrix Theory for QCD at Finite Density

Abstract

In this lecture we discuss various aspects of QCD at nonzero chemical potential, including its phase diagram and the Dirac spectrum, and summarize what chiral random matrix theory has contributed to this subject. To illustrate the importance of the phase of the fermion determinant, we particularly highlight the differences between QCD and phase quenched QCD.

Invited talk at "Continuous Advances in QCD 2008", Minneapolis, May 2008; 14 pages, 7 figures

References in corpus (13)

• Phases of Dense Quarks at Large N_c
• Canonical partition function and finite density phase transition in lattice QCD
• Baryons and the phase diagram for a large number of colors and flavors
• QCD Critical Point and Complex Chemical Potential Singularities
• A new Chiral Two-Matrix Theory for Dirac Spectra with Imaginary Chemical Potential
• Lattice QCD at finite temperature and density in the phase-quenched approximation
• The Approach to the Thermodynamic Limit in Lattice QCD at μ\neq0
• Chiral Condensate at Nonzero Chemical Potential in the Microscopic Limit of QCD
• Extracting $F_{\pi }$ from small lattices: unquenched results
• Microscopic eigenvalue correlations in QCD with imaginary isospin chemical potential
• QCD in One Dimension at Nonzero Chemical Potential
• Individual complex Dirac eigenvalue distributions from random matrix theory and comparison to quenched lattice QCD with a quark chemical potential
• QCD phase diagram: an overview

Cited by in corpus (4)

• Introduction to Random Matrices - Theory and Practice
• Singular values of the Dirac operator in dense QCD-like theories
• Random matrix theory of unquenched two-colour QCD with nonzero chemical potential
• Chiral Lagrangian and spectral sum rules for two-color QCD at high density