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arXiv · 0704.0330

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

K. Splittorff·J. J. M. Verbaarschot
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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 $μ\ne 0$, 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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K. Splittorff, J. J. M. Verbaarschot. 2007-04-03. Random Matrix Theory at Nonzero $μ$ and $T$. https://doi.org/10.1143/ptps.168.265

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