Domain Wall Fermions and the Eta Invariant

Abstract

We extend work by Callan and Harvey and show how the phase of the chiral fermion determinant in four dimensions is reproduced by zeromodes bound to a domain wall in five dimensions. The analysis could shed light on the applicability of zeromode fermions and the vacuum overlap formulation of Narayanan and Neuberger for chiral gauge theories on the lattice.

Comments: uuencoded file with 3 figures; uses macros harvmac, epsf. Revised discussion of the Chern-Simons form and SU(2) anomaly in section 4, as well as additional minor changes