We propose a modified lattice Landau gauge based on stereographically
projecting the link variables on the circle S^1 -> R for compact U(1) or the
3-sphere S^3 -> R^3 for SU(2) before imposing the Landau gauge condition. This
can reduce the number of Gribov copies exponentially and solves the Gribov
problem in compact U(1) where it is a lattice artifact. Applied to the maximal
Abelian subgroup this might be just enough to avoid the perfect cancellation
amongst the Gribov copies in a lattice BRST formulation for SU(N), and thus to
avoid the Neuberger 0/0 problem. The continuum limit of the Landau gauge
remains unchanged.Comment: 7 pages, 2 figures, for the proceedings of the XXV International
Symposium on Lattice Field Theory, July 30 - August 4 2007, Regensburg,
German
