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

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.

Authors:
;  [1];  [2]
  1. Physics Department, Princeton University, Princeton, New Jersey 08544 (United States) and Abdus Salam International Centre for Theoretical Physics, P.O.B. 586, 34100 Trieste (Italy)
  2. (United States)
Publication Date:
OSTI Identifier:
21010999
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevD.75.034503; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CHIRALITY; DIRAC OPERATORS; FERMIONS; GINZBURG-LANDAU THEORY; LATTICE FIELD THEORY; PHASE TRANSFORMATIONS; QUANTUM CHROMODYNAMICS; VACUUM STATES

Citation Formats

Garcia-Garcia, Antonio M., Osborn, James C., and Physics Department and Center for Computational Science, Boston University, Boston, Massachusetts 02215. Chiral phase transition in lattice QCD as a metal-insulator transition. United States: N. p., 2007. Web. doi:10.1103/PHYSREVD.75.034503.
Garcia-Garcia, Antonio M., Osborn, James C., & Physics Department and Center for Computational Science, Boston University, Boston, Massachusetts 02215. Chiral phase transition in lattice QCD as a metal-insulator transition. United States. doi:10.1103/PHYSREVD.75.034503.
Garcia-Garcia, Antonio M., Osborn, James C., and Physics Department and Center for Computational Science, Boston University, Boston, Massachusetts 02215. Thu . "Chiral phase transition in lattice QCD as a metal-insulator transition". United States. doi:10.1103/PHYSREVD.75.034503.
@article{osti_21010999,
title = {Chiral phase transition in lattice QCD as a metal-insulator transition},
author = {Garcia-Garcia, Antonio M. and Osborn, James C. and Physics Department and Center for Computational Science, Boston University, Boston, Massachusetts 02215},
abstractNote = {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.},
doi = {10.1103/PHYSREVD.75.034503},
journal = {Physical Review. D, Particles Fields},
number = 3,
volume = 75,
place = {United States},
year = {Thu Feb 01 00:00:00 EST 2007},
month = {Thu Feb 01 00:00:00 EST 2007}
}