Transiting topological sectors with the overlap
High Energy Physics - Lattice
2009-11-07 v1
Abstract
The overlap operator provides an elegant definition for the winding number of lattice gauge field configurations. Only for a set of configurations of measure zero is this procedure undefined. Without restrictions on the lattice fields, however, the space of gauge fields is simply connected. I present a simple low dimensional illustration of how the eigenvalues of a truncated overlap operator flow as one travels between different topological sectors.
Cite
@article{arxiv.hep-lat/0208026,
title = {Transiting topological sectors with the overlap},
author = {Michael Creutz},
journal= {arXiv preprint arXiv:hep-lat/0208026},
year = {2009}
}
Comments
Lattice2002(chiral): Poster at The XX International Symposium on Lattice Field Theory (Boston, 2002)