Life at the Landau pole
Abstract
If a quantum field theory has a Landau pole, the theory is usually called 'sick' and dismissed as a candidate for an interacting UV-complete theory. In a recent study on the interacting 4d O(N) model at large N, it was shown that at the Landau pole, observables remain well-defined and finite. In this work, I study both relevant and irrelevant deformations of the said model at the Landau pole, finding that physical observables remain unaffected. Apparently, the Landau pole in this theory is benign. As a phenomenological application, I compare the O(N) model to QCD, by identifying with the Landau pole in the O(N) model.
Keywords
Cite
@article{arxiv.2212.03254,
title = {Life at the Landau pole},
author = {Paul Romatschke},
journal= {arXiv preprint arXiv:2212.03254},
year = {2024}
}
Comments
24 pages, 6 figures; v2: typos fixed, slightly expanded discussion; v3: expanded discussion, more typos fixed, matches version accepted for publication