High temperature quark localization by Polyakov loops
High Energy Physics - Lattice
2011-12-02 v1 Disordered Systems and Neural Networks
High Energy Physics - Theory
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.
Cite
@article{arxiv.1112.0119,
title = {High temperature quark localization by Polyakov loops},
author = {Tamas G. Kovacs and Ferenc Pittler and Falk Bruckmann and Sebastian Schierenberg},
journal= {arXiv preprint arXiv:1112.0119},
year = {2011}
}
Comments
7 pages, 4 figures, Talk given at the XXIX International Symposium on Lattice Field Theory - Lattice 2011, July 10-16 2011, Squaw Valley, Lake Tahoe, California