Three-loop singularity structure for a non-linear sigma model
High Energy Physics - Theory
2025-07-09 v1 Mathematical Physics
math.MP
Abstract
The paper is devoted to the three-loop renormalization of the effective action for a two-dimensional non-linear sigma model using the background field method and a cutoff regularization in the coordinate representation. The coefficients of the renormalization constant and the necessary auxiliary vertices are found, as well as the asymptotic expansions of all three-loop diagrams, and their dependence on the type of regularizing function. A comparison is also made with the standard case of cutoff in the momentum representation.
Cite
@article{arxiv.2507.05923,
title = {Three-loop singularity structure for a non-linear sigma model},
author = {P. V. Akacevich and A. V. Ivanov and I. V. Korenev},
journal= {arXiv preprint arXiv:2507.05923},
year = {2025}
}
Comments
LaTeX, 64 pages, 179 figures. Firstly appeared in Russian, July 7, 2025, see https://www.pdmi.ras.ru/preprint/2025/25-08.html