A lattice formulation for chiral gauge theory?

Kind: 
Author: 
David Kaplan
Date: 
Friday, December 16, 2016
Abstract: 
Combining five dimensional domain wall fermions in Euclidian space with gauge fields that undergo gradient flow in the fifth dimension can can lead to a gauge theory of interacting chiral fermions on one boundary, and "fluff" on the other: mirror fermions which do not interact with gauge fields except through their topology. I describe how this works and attempts to formulate the effective four dimensional lattice theory of the surface modes. Can this serve as a nonperturbative regulator for chiral gauge theories? Does the existence of "fluff" imply new phenomenology for these theories?