Summation of power singularities

2025/08/24 by Ivanov, A. V.
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2508.17289

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.

Citations

• Three-loop singularity structure for a non-linear sigma model
• Exact expressions for the renormalization constants in the MS-like schemes
• Algebraic structure of the renormalization group in the renormalizable QFT theories
• On a criterion for a cutoff regularization in the coordinate representation
• Higher logarithms and ε-poles for the MS-like renormalization prescriptions
• Borel resummation of secular divergences in stochastic inflation
• Radiative Corrections, Divergences, Regularization, Renormalization, Renormalization Group and All That in Examples in Quantum Field Theory

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• Three-loop singularity structure for a non-linear sigma model