On the Weyl anomaly for chiral fermions
High Energy Physics - Theory
2026-02-27 v3 High Energy Physics - Phenomenology
Abstract
We compute the parity-odd part of the Weyl anomaly for chiral fermions in a background gravitational field. We start from a manifestly real form of the Lagrangian (that is, not only real up to a total derivative), and we regularize it by means of Pauli-Villars fermions. All parity-odd terms in the anomaly cancel in the integrand, so that the result of the anomaly is necessarily parity-even.
Keywords
Cite
@article{arxiv.2512.05545,
title = {On the Weyl anomaly for chiral fermions},
author = {Enrique Alvarez and Luis Alvarez-Gaume and Jesus Anero and Carmelo P Martin},
journal= {arXiv preprint arXiv:2512.05545},
year = {2026}
}
Comments
19 pages,LaTeX. References added.Paragraph changed