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Paper detail

The Integrated Density of States for the Wilson Dirac Operator

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.

preprint2010arXivOpen access
Volker BachCarolin Kurig
math-phmath.MP
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Volker BachCarolin Kurig

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