Summation of power singularities
High Energy Physics - Theory
2025-08-26 v1
Abstract
In this paper, we investigate an example of summation of non-logarithmic singularities of a specific type in a two-dimensional non-linear sigma model. As a result of the study, we obtained an explicit formula, which, upon formal expansion in terms of the coupling constant, reproduces a particular part of the quantum action. Additionally, the paper introduces a new auxiliary function and discusses some of its properties.
Cite
@article{arxiv.2508.17289,
title = {Summation of power singularities},
author = {A. V. Ivanov},
journal= {arXiv preprint arXiv:2508.17289},
year = {2025}
}
Comments
LaTeX, 8 pages. Firstly appeared in Russian, August 21, 2025, see https://www.pdmi.ras.ru/preprint/2025/25-10.html