Generalized Ginsparg-Wilson relations
High Energy Physics - Lattice
2023-10-09 v2 Strongly Correlated Electrons
High Energy Physics - Theory
Abstract
We give a general derivation of Ginsparg-Wilson relations for both Dirac and Majorana fermions in any dimension. These relations encode continuous and discrete chiral, parity and time reversal anomalies and will apply to the various classes of free fermion topological insulators and superconductors (in the framework of a relativistic quantum field theory in Euclidean spacetime). We show how to formulate the exact symmetries of the lattice action and the relevant index theorems for the anomalies.
Keywords
Cite
@article{arxiv.2309.08542,
title = {Generalized Ginsparg-Wilson relations},
author = {Michael Clancy and David B. Kaplan and Hersh Singh},
journal= {arXiv preprint arXiv:2309.08542},
year = {2023}
}
Comments
14 pages. Submitted Version. Section III.D revised, and other minor improvements