Summation of power singularities
arXiv:2508.17289 · doi:10.3103/S0027134925702637
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.
LaTeX, 8 pages. Firstly appeared in Russian, August 21, 2025, see https://www.pdmi.ras.ru/preprint/2025/25-10.html