Probing the Yang-Mills vacuum with adjoint zero-modes

Understand

For the non-perturbative analysis of the topological content of Yang-Mills theories, it is essential to disentangle long-range structures from short-range fluctuations.

• Some time ago, one of us proposed to use the adjoint modes of the Dirac operator for this purpose.
• In this talk we analyse an implementation of this idea that associates two Weyl fermionic modes in the adjoint representation to every gauge field configuration.
• The densities of these modes provide a filtered image of the self-dual and anti self-dual parts of the gauge action density.