Why the overlap formula does not lead to chiral fermions
High Energy Physics - Lattice
2009-10-28 v1 High Energy Physics - Phenomenology
High Energy Physics - Theory
Abstract
We describe a conceptually simple, but important test for the overlap approach to the construction of lattice chiral gauge theories. We explain the equivalence of the overlap formula with a certain waveguide model for a simple set of gauge configurations (the trivial orbit). This equivalence is helpful in carrying out the test, and casts serious doubts on the viability of the overlap approach. A recent note by Narayanan and Neuberger which points out a mistake in our previous work is irrelevant in this context.
Keywords
Cite
@article{arxiv.hep-lat/9509027,
title = {Why the overlap formula does not lead to chiral fermions},
author = {Maarten Golterman and Yigal Shamir},
journal= {arXiv preprint arXiv:hep-lat/9509027},
year = {2009}
}
Comments
4 pages, compressed postscript, contribution to Lattice'95