2016/10/26 by Dorota M. Grabowska, David B. Kaplan
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Dimension (graph theory) #Fermion #Field (mathematics) #Gauge theory #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Theoretical physics #hep-lat #hep-th
paper · pdf · doi:10.1103/physrevd.94.114504
published as Phys. Rev. D 94, 114504 (2016) · Revised discussions of the index, topology conservation by the gradient flow, and adiabatic versus abrupt flow. 13 pages, 2 figures
arxiv created 2016/10/26 · openalex publication_date 2016/12/02 · arxiv updated 2016/12/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
We present a chiral solution of the Ginsparg-Wilson equation. This work is motivated by our recent proposal for nonperturbatively regulating chiral gauge theories, where five-dimensional domain wall fermions couple to a four-dimensional 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 four-dimensional chiral overlap operator which is shown to obey the Ginsparg-Wilson equation, and which correctly reproduces a number of properties expected of chiral gauge theories in the continuum.