Modified Lattice Landau Gauge

Details Modified Lattice Landau Gauge Modified Lattice Landau Gauge

2007-10-12

arxiv.org/abs/0710.2410v1

PoS LAT2007:382,2007

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages, 2 figures, for the proceedings of the XXV International Symposium on Lattice Field Theory, July 30 - August 4 2007, R

Scientific paper

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.

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