The Integrated Density of States for the Wilson Dirac Operator
Mathematical Physics
2010-10-11 v2 math.MP
Abstract
It is shown that gauge field-dependent fermion Dirac operators from lattice QCD form an ergodic operator family in the probabilistic sense, provided the gauge field is an ergodic random field. As a consequence, the integrated density of states of such Dirac operators in the thermodynamic limit exists and is almost surely independent of the chosen gauge field configuration.
Keywords
Cite
@article{arxiv.1009.1949,
title = {The Integrated Density of States for the Wilson Dirac Operator},
author = {Volker Bach and Carolin Kurig},
journal= {arXiv preprint arXiv:1009.1949},
year = {2010}
}
Comments
24 pages, 2 figures