Feynman gauge on the lattice: new results and perspectives

Understand

We have recently introduced a new implementation of the Feynman gauge on the lattice, based on a minimizing functional that extends in a natural way the Landau-gauge case, while preserving all the properties of the continuum formulation.

• The only remaining difficulty with our approach is that, using the standard (compact) discretization, the gluon field is bounded, while its four-divergence satisfies a Gaussian distribution, i.e.
• it is unbounded.
• This can give rise to convergence problems when a numerical implementation is attempted.