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.

4 pages, compressed postscript, contribution to Lattice'95

References in corpus (6)

• A Method for Simulating Chiral Fermions on the Lattice
• A construction of lattice chiral gauge theories
• Axial symmetries in lattice QCD with Kaplan fermions
• Chiral Gauge Theories and Fermion-Higgs Systems
• The relation between the waveguide and overlap implementations of Kaplan's domain wall fermions
• Mirror fermions in chiral gauge theories

Cited by in corpus (2)

• Domain wall fermion and chiral gauge theories on the lattice with exact gauge invariance
• Global obstructions to gauge-invariance in chiral gauge theory on the lattice