Why the overlap formula does not lead to chiral fermions
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.
- Publication:
-
Nuclear Physics B Proceedings Supplements
- Pub Date:
- March 1996
- DOI:
- 10.1016/0920-5632(96)00131-4
- arXiv:
- arXiv:hep-lat/9509027
- Bibcode:
- 1996NuPhS..47..603G
- Keywords:
-
- High Energy Physics - Lattice;
- High Energy Physics - Phenomenology;
- High Energy Physics - Theory
- E-Print:
- 4 pages, compressed postscript, contribution to Lattice'95