English

Chiral phase transition in lattice QCD as a metal-insulator transition

High Energy Physics - Lattice 2008-11-26 v3 Disordered Systems and Neural Networks High Energy Physics - Theory

Abstract

We investigate the lattice QCD Dirac operator with staggered fermions at temperatures around the chiral phase transition. We present evidence of a metal-insulator transition in the low lying modes of the Dirac operator around the same temperature as the chiral phase transition. This strongly suggests the phenomenon of Anderson localization drives the QCD vacuum to the chirally symmetric phase in a way similar to a metal-insulator transition in a disordered conductor. We also discuss how Anderson localization affects the usual phenomenological treatment of phase transitions a la Ginzburg-Landau.

Keywords

Cite

@article{arxiv.hep-lat/0611019,
  title  = {Chiral phase transition in lattice QCD as a metal-insulator transition},
  author = {Antonio M. Garcia-Garcia and James C. Osborn},
  journal= {arXiv preprint arXiv:hep-lat/0611019},
  year   = {2008}
}

Comments

7 pages, 6 figures, references added, typos corrected, journal version