  Close to the continuum the lattice spacing affects the smallest eigenvalues
of the Wilson Dirac operator in a very specific manner determined by the way in
which the discretization breaks chiral symmetry. These effects can be computed
analytically by means of Wilson chiral perturbation theory and Wilson random
matrix theory. A number of insights on chiral Dynamics with Wilson fermions can
be obtained from the computation of the microscopic spectrum of the Wilson
Dirac operator. For example, the unusual volume scaling of the smallest
eigenvalues observed in lattice simulations has a natural explanation. The
dynamics of the eigenvalues of the Wilson Dirac operator also allow us to
determine the additional low energy constants of Wilson chiral perturbation
theory and to understand why the Sharpe-Singleton scenario is only realized in
unquenched simulations.
