Physics – Mathematical Physics
Scientific paper
2010-09-10
Physics
Mathematical Physics
24 pages, 2 figures
Scientific paper
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.
Bach Volker
Kurig Carolin
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