Domain wall filters

Abstract

We propose using the extra dimension separating the domain walls carrying lattice quarks of opposite handedness to gradually filter out the ultraviolet fluctuations of the gauge fields that are felt by the fermionic excitations living in the bulk. This generalization of the homogeneous domain wall construction has some theoretical features that seem nontrivial.

6 pages, Talk delivered by H. Neuberger at the workshop ``Domain Wall Fermions at Ten Years'', March 15-17, 2007