An Ising-Anderson model of localisation in high-temperature QCD

Matteo Giordano, T. Kovács, Ferenc Pittler

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

Abstract: We discuss a possible mechanism leading to localisation of the low-lying Dirac eigenmodes in high-temperature lattice QCD, based on the spatial fluctuations of the local Polyakov lines in the partially ordered configurations above Tc. This mechanism provides a qualitative explanation of the dependence of localisation on the temperature and on the lattice spacing, and also of the phase diagram of QCD with an imaginary chemical potential. To test the viability of this mechanism we propose a three-dimensional effective, Anderson-like model, mimicking the effect of the Polyakov lines on the quarks. The diagonal, on-site disorder is governed by a three-dimensional Ising-like spin model with continuous spins. Our numerical results show that localised modes are indeed present in the ordered phase of the Ising model, thus supporting the proposed mechanism for localisation in QCD.

Original languageEnglish
Article number112
Pages (from-to)1-19
Number of pages19
JournalJournal of High Energy Physics
Volume2015
Issue number4
DOIs
Publication statusPublished - Apr 1 2015

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Ising model
quantum chromodynamics
viability
spacing
phase diagrams
disorders
quarks
configurations
temperature

Keywords

  • Lattice QCD
  • Phase Diagram of QCD
  • Random Systems

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

An Ising-Anderson model of localisation in high-temperature QCD. / Giordano, Matteo; Kovács, T.; Pittler, Ferenc.

In: Journal of High Energy Physics, Vol. 2015, No. 4, 112, 01.04.2015, p. 1-19.

Research output: Contribution to journalArticle

Giordano, Matteo ; Kovács, T. ; Pittler, Ferenc. / An Ising-Anderson model of localisation in high-temperature QCD. In: Journal of High Energy Physics. 2015 ; Vol. 2015, No. 4. pp. 1-19.
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