Adjoint zero-modes as a tool to understand the Yang-Mills vacuum

Understand

The use of adjoint (quasi) zero-modes of the Dirac operator to probe the Yangs-Mills vacuum has been recently advocated by Gonzalez-Arroyo and Kirchner.

• The construction relies on the use of the super-symmetric zero mode which, for classical configurations, provides a direct estimate of the gauge action density.
• In the lattice implementation of this idea, we show how the results improve considerably if the overlap operator is used instead of the Wilson-Dirac one.
• Before proceeding to the detailed study of Monte Carlo ensembles, we studied here a series of potentially complicated situations which can be encountered.