Gribov Copy and Complex Phase of Chiral Determinant
High Energy Physics - Lattice
2009-10-28 v1
Abstract
We calculate the complex phase of chiral determinant by the vacuum overlap formula with configurations of two-dimensional U(1) gauge field fixed in Landau and Laplacian gauge. The complex phase fluctuates over the Gribov copies, which appear in the process of Landau gauge fixing and contain vortex-like singularities. In the Laplacian gauge, the fluctuation can be reduced and the phase can be determined uniquely. If it is used as a preconditioning for Landau gauge fixing, the most smooth configuration is obtained among the copies generated.
Keywords
Cite
@article{arxiv.hep-lat/9608136,
title = {Gribov Copy and Complex Phase of Chiral Determinant},
author = {T. Aoyama and Y. Kikukawa},
journal= {arXiv preprint arXiv:hep-lat/9608136},
year = {2009}
}
Comments
Talk presented at LATTICE96(chiral gauge), 3 LaTeX pages with 5 postscript figures, need espcrc2.sty(included)