English

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

High Energy Physics - Phenomenology 2008-11-26 v1

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 μ0\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.

Keywords

Cite

@article{arxiv.0704.0330,
  title  = {Random Matrix Theory at Nonzero $\mu$ and $T$},
  author = {K. Splittorff and J. J. M. Verbaarschot},
  journal= {arXiv preprint arXiv:0704.0330},
  year   = {2008}
}

Comments

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