Anderson localization in QCD-like theories

Matteo Giordano, T. Kovács, Ferenc Pittler

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

We review the present status of the Anderson transition in the spectrum of the Dirac operator of QCD-like theories on the lattice. Localized modes at the low end of the spectrum have been found in SU(2) Yang-Mills theory with overlap and staggered valence fermions as well as in Nf = 2 + 1 QCD with staggered quarks. We draw an analogy between the transition from localized to delocalized modes in the Dirac spectrum and the Anderson transition in electronic systems. The QCD transition turns out to be in the same universality class as the transition in the corresponding Anderson model. We also speculate on the possible physical relevance of this transition to QCD at high temperature and the possible finite temperature phase transition in QCD-like models with different fermion contents.

Original languageEnglish
Article number1445005
JournalInternational Journal of Modern Physics A
Volume29
Issue number25
DOIs
Publication statusPublished - Oct 10 2014

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quantum chromodynamics
fermions
Yang-Mills theory
quarks
valence
operators
electronics
temperature

Keywords

  • Anderson localization
  • chiral transition
  • lattice QCD
  • Quark-gluon plasma

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Astronomy and Astrophysics
  • Nuclear and High Energy Physics

Cite this

Anderson localization in QCD-like theories. / Giordano, Matteo; Kovács, T.; Pittler, Ferenc.

In: International Journal of Modern Physics A, Vol. 29, No. 25, 1445005, 10.10.2014.

Research output: Contribution to journalArticle

Giordano, Matteo ; Kovács, T. ; Pittler, Ferenc. / Anderson localization in QCD-like theories. In: International Journal of Modern Physics A. 2014 ; Vol. 29, No. 25.
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