Dirac eigenmodes at the QCD Anderson transition
High Energy Physics - Lattice
2014-10-31 v1 Disordered Systems and Neural Networks
High Energy Physics - Phenomenology
Abstract
Recently we found an Anderson-type localization-delocalization transition in the QCD Dirac spectrum at high temperature. Using spectral statistics we obtained a critical exponent compatible with that of the corresponding Anderson model. Here we study the spatial structure of the eigenmodes both in the localized and the transition region. Based on previous studies in the Anderson model, at the critical point, the eigenmodes are expected to have a scale invariant multifractal structure. We verify the scale invariance of Dirac eigenmodes at the critical point.
Cite
@article{arxiv.1410.8308,
title = {Dirac eigenmodes at the QCD Anderson transition},
author = {Matteo Giordano and Tamas G. Kovacs and Ferenc Pittler and Laszlo Ujfalusi and Imre Varga},
journal= {arXiv preprint arXiv:1410.8308},
year = {2014}
}
Comments
to appear in Proceedings of The 32nd International Symposium on Lattice Field Theory, 23-28 June, 2014, Columbia University New York, NY