Chiral Dynamics With Wilson Fermions

Understand

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.