English

The chiral phase transition, random matrix models, and lattice data

High Energy Physics - Phenomenology 2009-09-25 v2

Abstract

We present two pieces of evidence in support of the conjecture that the microscopic spectral density of the Dirac operator is a universal quantity. First, we compare lattice data to predictions from random matrix theory. Second, we show that the functional form of the microscopic spectral correlations remains unchanged in random matrix models which take account of finite temperature. Furthermore, we present a random matrix model for the chiral phase transition in which all Matsubara frequencies are included.

Keywords

Cite

@article{arxiv.hep-ph/9701387,
  title  = {The chiral phase transition, random matrix models, and lattice data},
  author = {T. Wettig and T. Guhr and A. Schäfer and H. A. Weidenmüller},
  journal= {arXiv preprint arXiv:hep-ph/9701387},
  year   = {2009}
}

Comments

added a reference and a comment to the model in Section 3