Random Matrix Theory at Nonzero $\mu$ and $T$

Abstract

We review applications of random matrix theory to QCD at nonzero temperature and chemical potential. The chiral phase transition of QCD and QCD-like theories is discussed in terms of eigenvalues of the Dirac operator. We show that for QCD at $\mu \ne 0$, which has a sign problem, the discontinuity in the chiral condensate is due to an alternative to the Banks-Casher relation. The severity of the sign problem is analyzed in the microscopic domain of QCD.

Invited talk at YKIS2006, YITP-Kyoto, 10 pages, 10 figures

References in corpus (8)

• Two-flavor lattice QCD simulation in the epsilon-regime with exact chiral symmetry
• The QCD Sign Problem for Small Chemical Potential
• Spectral sums of the Dirac-Wilson Operator and their relation to the Polyakov loop
• The condensate for two dynamical chirally improved quarks in QCD
• QCD Functional Integrals for Systems with Nonzero Chemical Potential
• Orthogonal Polynomials for Potentials of two Variables with External Sources
• Dirac eigenvalue correlations in quenched QCD at finite density
• Lectures on Chiral Disorder in QCD

Cited by in corpus (2)

• Random matrices beyond the Cartan classification
• Glueballs and the superfluid phase of Two-Color QCD