High temperature quark localization by Polyakov loops

T. Kovács, Ferenc Pittler, Falk Bruckmann, Sebastian Schierenberg

Research output: Contribution to journalConference article

Abstract

We study the low eigenmodes of the overlap and staggered Dirac operator at high temperature. We show that the recently found localized quark modes obeying Poisson statistics are connected to physical gauge field objects with their size and density scaling in the continuum limit. The localized modes are also strongly correlated with large fluctuations of the Polyakov loop. Based on that we construct a random matrix model of the low Dirac modes inspired by dimensional reduction. Our model reproduces the Poisson to random matrix transition seen in the lattice Dirac spectrum.

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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quarks
statistics
continuums
scaling
operators

ASJC Scopus subject areas

  • General

Cite this

Kovács, T., Pittler, F., Bruckmann, F., & Schierenberg, S. (2011). High temperature quark localization by Polyakov loops. Proceedings of Science, 139.

High temperature quark localization by Polyakov loops. / Kovács, T.; Pittler, Ferenc; Bruckmann, Falk; Schierenberg, Sebastian.

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

Research output: Contribution to journalConference article

Kovács, T, Pittler, F, Bruckmann, F & Schierenberg, S 2011, 'High temperature quark localization by Polyakov loops', Proceedings of Science, vol. 139.
Kovács T, Pittler F, Bruckmann F, Schierenberg S. High temperature quark localization by Polyakov loops. Proceedings of Science. 2011 Jan 1;139.
Kovács, T. ; Pittler, Ferenc ; Bruckmann, Falk ; Schierenberg, Sebastian. / High temperature quark localization by Polyakov loops. In: Proceedings of Science. 2011 ; Vol. 139.
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