### Abstract

We analyze the eigenvalue statistics of the staggered Dirac operator above T_{c} 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 language | English |
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Journal | Proceedings of Science |

Volume | 139 |

Publication status | Published - Jan 1 2011 |

Event | 29th International Symposium on Lattice Field Theory, Lattice 2011 - Squaw Valley, Lake Tahoe, United States Duration: Jul 10 2011 → Jul 16 2011 |

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### ASJC Scopus subject areas

- General

### Cite this

*Proceedings of Science*,

*139*.

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

Research output: Contribution to journal › Conference article

*Proceedings of Science*, vol. 139.

}

TY - JOUR

T1 - Poisson statistics in the high temperature QCD Dirac spectrum

AU - Kovács, T.

AU - Pittler, Ferenc

PY - 2011/1/1

Y1 - 2011/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85053314244&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85053314244&partnerID=8YFLogxK

M3 - Conference article

AN - SCOPUS:85053314244

VL - 139

JO - Proceedings of Science

JF - Proceedings of Science

SN - 1824-8039

ER -