Modified Lattice Landau Gauge
Abstract
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.
Keywords
Cite
@article{arxiv.0710.2410,
title = {Modified Lattice Landau Gauge},
author = {Lorenz von Smekal and Dhagash Mehta and Andre Sternbeck and Anthony G. Williams},
journal= {arXiv preprint arXiv:0710.2410},
year = {2010}
}
Comments
7 pages, 2 figures, for the proceedings of the XXV International Symposium on Lattice Field Theory, July 30 - August 4 2007, Regensburg, Germany