Is the chiral phase transition induced by a metal-insulator transition?

Details Is the chiral phase transition induced by a metal-insulator transition? Is the chiral phase transition induced by a metal-insulator transition?

2007-11-18

arxiv.org/abs/0711.2789v1

Braz.J.Phys.37:246-250,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

5 pages, 4 figures. Contributions to the proceedings of ``Infrared QCD in Rio: Propagators, Condensates and Topological Effect

Scientific paper

We investigate the QCD Dirac operator with gauge configurations given by a liquid of instantons in the region of temperatures about the chiral phase transition. Both the quenched and unquenched cases are examined in detail. We present evidence of a localization transition in the low lying modes of the Dirac operator around the same temperature as the chiral phase transition. Thus both level statistics and eigenvectors of the QCD Dirac operator at the chiral phase transition have similar properties than those of a disordered conductor at the metal-insulator transition. This strongly suggests the phenomenon of Anderson localization (localization by destructive quantum interference) is the leading physical mechanism in the restoration of the chiral symmetry. Finally we argue that our findings are not in principle restricted to the ILM approximation and may also be found in lattice simulations.

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