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

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

2006-11-17

arxiv.org/abs/hep-lat/0611019v3

Phys.Rev.D75:034503,2007

Physics

High Energy Physics

High Energy Physics - Lattice

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

Scientific paper

10.1103/PhysRevD.75.034503

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.

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