Critical behaviour in the QCD Anderson transition

Matteo Giordano, T. Kovács, Ferenc Pittler

Research output: Contribution to journalArticle

Abstract

We study the Anderson-type localisation-delocalisation transition found previously in the QCD Dirac spectrum at high temperature. Using high statistics QCD simulations with Nf = 2+1 flavours of staggered quarks, we discuss how the change in the spectral statistics depends on the volume, the temperature and the lattice spacing, and we speculate on the possible universality of the transition from Poisson toWigner-Dyson in the spectral statistics. Moreover, we show that the transition is a genuine phase transition: At the mobility edge, separating localised and delocalised modes, quantities characterising the spectral statistics become non-analytic in the thermodynamic limit. Using finite size scaling we also determine the critical exponent of the correlation length, and we speculate on possible extensions of the universality of Anderson transitions.

Original languageEnglish
Article number213
JournalUnknown Journal
Volume29-July-2013
Publication statusPublished - 2013

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quantum chromodynamics
statistics
spacing
exponents
quarks
scaling
thermodynamics
simulation
temperature

ASJC Scopus subject areas

  • General

Cite this

Giordano, M., Kovács, T., & Pittler, F. (2013). Critical behaviour in the QCD Anderson transition. Unknown Journal, 29-July-2013, [213].

Critical behaviour in the QCD Anderson transition. / Giordano, Matteo; Kovács, T.; Pittler, Ferenc.

In: Unknown Journal, Vol. 29-July-2013, 213, 2013.

Research output: Contribution to journalArticle

Giordano, M, Kovács, T & Pittler, F 2013, 'Critical behaviour in the QCD Anderson transition', Unknown Journal, vol. 29-July-2013, 213.
Giordano M, Kovács T, Pittler F. Critical behaviour in the QCD Anderson transition. Unknown Journal. 2013;29-July-2013. 213.
Giordano, Matteo ; Kovács, T. ; Pittler, Ferenc. / Critical behaviour in the QCD Anderson transition. In: Unknown Journal. 2013 ; Vol. 29-July-2013.
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