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The Integrated Density of States for the Wilson Dirac Operator (1009.1949v2)
Published 10 Sep 2010 in math-ph and 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.
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