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arXiv · 2508.17289

Summation of power singularities

A. V. Ivanov
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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.

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A. V. Ivanov. 2025-08-24. Summation of power singularities. https://doi.org/10.3103/s0027134925702637

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