Random Matrix Theory at Nonzero $μ$ and $T$

Details Random Matrix Theory at Nonzero $μ$ and $T$ Random Matrix Theory at Nonzero $μ$ and $T$

2007-04-03

arxiv.org/abs/0704.0330v1

Prog.Theor.Phys.Suppl.168:265-275,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1143/PTPS.168.265

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.

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