Why the overlap formula does not lead to chiral fermions

Details Why the overlap formula does not lead to chiral fermions Why the overlap formula does not lead to chiral fermions

1995-09-12

arxiv.org/abs/hep-lat/9509027v1

Nucl.Phys.Proc.Suppl. 47 (1996) 603-606

Physics

High Energy Physics

High Energy Physics - Lattice

4 pages, compressed postscript, contribution to Lattice'95

Scientific paper

10.1016/0920-5632(96)00131-4

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.

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