Quark localization in QCD above Tc

Matteo Giordano, T. Kovács, Ferenc Pittler

Research output: Contribution to journalArticle

Abstract

It was previously found that at high temperature the lowest part of the QCD Dirac spectrum consists of localized modes obeying Poisson statistics. Higher up in the spectrum, modes become delocalized and their statistics can be described by random matrix theory. The transition from localized to delocalized modes is analogous to the Anderson metal-insulator transition. Here we use dynamical QCD simulations with staggered quarks to study this localization phenomenon. We show that the "mobility edge", separating localized and delocalized modes, scales properly in the continuum limit and rises steeply with the temperature. Using very high statistics simulations in large volumes we find that the density of localized modes scales precisely with the spatial volume and even at T = 2.6Tc the lowest part of the spectrum extends all the way down to zero with no evidence of a spectral gap.

Original languageEnglish
Article number212
JournalUnknown Journal
Volume29-July-2013
Publication statusPublished - 2013

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quantum chromodynamics
quarks
statistics
matrix theory
simulation
insulators
continuums
metals
temperature

ASJC Scopus subject areas

  • General

Cite this

Giordano, M., Kovács, T., & Pittler, F. (2013). Quark localization in QCD above Tc. Unknown Journal, 29-July-2013, [212].

Quark localization in QCD above Tc. / Giordano, Matteo; Kovács, T.; Pittler, Ferenc.

In: Unknown Journal, Vol. 29-July-2013, 212, 2013.

Research output: Contribution to journalArticle

Giordano, M, Kovács, T & Pittler, F 2013, 'Quark localization in QCD above Tc', Unknown Journal, vol. 29-July-2013, 212.
Giordano M, Kovács T, Pittler F. Quark localization in QCD above Tc. Unknown Journal. 2013;29-July-2013. 212.
Giordano, Matteo ; Kovács, T. ; Pittler, Ferenc. / Quark localization in QCD above Tc. In: Unknown Journal. 2013 ; Vol. 29-July-2013.
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AB - It was previously found that at high temperature the lowest part of the QCD Dirac spectrum consists of localized modes obeying Poisson statistics. Higher up in the spectrum, modes become delocalized and their statistics can be described by random matrix theory. The transition from localized to delocalized modes is analogous to the Anderson metal-insulator transition. Here we use dynamical QCD simulations with staggered quarks to study this localization phenomenon. We show that the "mobility edge", separating localized and delocalized modes, scales properly in the continuum limit and rises steeply with the temperature. Using very high statistics simulations in large volumes we find that the density of localized modes scales precisely with the spatial volume and even at T = 2.6Tc the lowest part of the spectrum extends all the way down to zero with no evidence of a spectral gap.

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