Chiral solution to the GinspargWilson equation
Abstract
We present a chiral solution of the GinspargWilson equation. This work is motivated by our recent proposal for nonperturbatively regulating chiral gauge theories, where fivedimensional domain wall fermions couple to a fourdimensional gauge field that is extended into the extra dimension as the solution to a gradient flow equation. Mirror fermions at the far surface decouple from the gauge field as if they have form factors that become infinitely soft as the distance between the two surfaces is increased. In the limit of an infinite extra dimension we derive an effective fourdimensional chiral overlap operator which is shown to obey the GinspargWilson equation, and which correctly reproduces a number of properties expected of chiral gauge theories in the continuum.
 Publication:

Physical Review D
 Pub Date:
 December 2016
 DOI:
 10.1103/PhysRevD.94.114504
 arXiv:
 arXiv:1610.02151
 Bibcode:
 2016PhRvD..94k4504G
 Keywords:

 High Energy Physics  Lattice;
 High Energy Physics  Theory
 EPrint:
 Revised discussions of the index, topology conservation by the gradient flow, and adiabatic versus abrupt flow. 13 pages, 2 figures