LESSONS FROM RANDOM MATRIX THEORY FOR QCD AT FINITE DENSITY

2008/09/25 by K. Splittorff, J. J. M. Verbaarschot
Physics and Astronomy · #Dirac (video compression format) #Eigenvalues and eigenvectors #Fermion #High-Energy Particle Collisions Research #Materials science #Matrix (chemical analysis) #Particle physics #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Random matrix #Theoretical and Computational Physics #Theoretical physics #hep-ph

paper · pdf · doi:10.1142/9789812838667_0014

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

arxiv created 2008/09/25 · openalex publication_date 2008/12/01 · arxiv updated 2017/08/23 · openalex created_date 2021/02/01 · openalex updated_date 2026/08/05

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.

Citations

• New method of determiningFπon the lattice
• Approach to the thermodynamic limit in lattice QCD atμ≠0
• Critical point of QCD at finite T and , lattice results for physical quark masses
• Random matrix triality at nonzero chemical potential
• QCD in one dimension at nonzero chemical potential
• Baryons and the phase diagram for a large number of colors and flavors
• Random Matrix Model of QCD at Finite Density and the Nature of the Quenched Limit
• QCD thermal phase transition in the presence of a small chemical potential