Abstract
I demonstrate how chiral fermions with an exact gauge symmetry can appear on the -dimensional boundary of a finite volume ()-dimensional manifold, without any light mirror partners. The condition for the -dimensional boundary theory to be local is that gauge anomalies cancel and that the volume be large. This can likely be achieved on a lattice and provides a new paradigm for the lattice regularization of chiral gauge theories.
- Received 7 December 2023
- Revised 21 January 2024
- Accepted 8 February 2024
DOI:https://doi.org/10.1103/PhysRevLett.132.141603
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.
Published by the American Physical Society
Physics Subject Headings (PhySH)
Q&A
Making Sense of Handedness on a Lattice
Published 2 April 2024
David Kaplan has developed a lattice model for particles that are left- or right-handed, offering a firmer foundation for the theory of weak interactions.
See more in Physics