Singularities in the RG flow
High Energy Physics - Theory
2026-03-03 v1
Abstract
In this work, we show examples when a perturbatively irrelevant operator becomes relevant in the infrared because of the presence of an IR singularity (IR Landau pole). An example of this behavior is the four-fermion interaction that allows the formation of bound states. The reason of the appearance of the IR Landau pole is not the singular loop as in the purely perturbative case, but the infinite number of modes appearing in the RG flow.
Cite
@article{arxiv.2603.01900,
title = {Singularities in the RG flow},
author = {Antal Jakovac},
journal= {arXiv preprint arXiv:2603.01900},
year = {2026}
}
Comments
14 pages revtex4, 1 figure