Summation of power singularities

Fuente: arXiv
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Autore principale: Ivanov, A. V.
Natura: Preprint
Pubblicazione: 2025
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author Ivanov, A. V.
author_facet Ivanov, A. V.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2508_17289
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Summation of power singularities
Ivanov, A. V.
High Energy Physics - Theory
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.
title Summation of power singularities
topic High Energy Physics - Theory
url https://arxiv.org/abs/2508.17289