Poisson statistics in the high temperature QCD Dirac spectrum

T. Kovács, Ferenc Pittler

Research output: Contribution to journalConference article

Abstract

We analyze the eigenvalue statistics of the staggered Dirac operator above Tc in QCD with 2+1 flavors of dynamical quarks. We use physical quark masses in our simulations. We compare the eigenvalue statistics from several parts of the Dirac spectrum with the predictions of Random Matrix Theory for this universality class and with Poisson statistics. We show that at the low end of the spectrum the eigenmodes are localized and obey Poisson statistics. Above a boundary region the eigenmodes become delocalized and obey Random Matrix statistics. Thus the QCD Dirac spectrum with physical dynamical quarks also has the Poisson to Random Matrix transition previously seen in the quenched SU(2) theory.

Original languageEnglish
JournalProceedings of Science
Volume139
Publication statusPublished - Jan 1 2011
Event29th International Symposium on Lattice Field Theory, Lattice 2011 - Squaw Valley, Lake Tahoe, United States
Duration: Jul 10 2011Jul 16 2011

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quantum chromodynamics
statistics
quarks
eigenvalues
matrix theory
operators
predictions
simulation

ASJC Scopus subject areas

  • General

Cite this

Poisson statistics in the high temperature QCD Dirac spectrum. / Kovács, T.; Pittler, Ferenc.

In: Proceedings of Science, Vol. 139, 01.01.2011.

Research output: Contribution to journalConference article

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