English

Matrix model correlation functions and lattice data for the QCD Dirac operator with chemical potential

High Energy Physics - Lattice 2017-08-23 v1 High Energy Physics - Phenomenology High Energy Physics - Theory

Abstract

We apply a complex chiral random matrix model as an effective model to QCD with a small chemical potential at zero temperature. In our model the correlation functions of complex eigenvalues can be determined analytically in two different limits, at weak and strong non-Hermiticity. We compare them to the distribution of the smallest Dirac operator eigenvalues from quenched QCD lattice data for small values of the chemical potential, appropriately rescaled with the volume. This confirms the existence of two different scaling regimes from lattice data.

Keywords

Cite

@article{arxiv.hep-lat/0301017,
  title  = {Matrix model correlation functions and lattice data for the QCD Dirac operator with chemical potential},
  author = {G. Akemann and T. Wettig},
  journal= {arXiv preprint arXiv:hep-lat/0301017},
  year   = {2017}
}

Comments

5 pages, 4 figures, talk by G.A. on SEWM2002 Heidelberg

R2 v1 2026-07-22T13:13:41.663Z