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P. V. Akacevich

Publications and source records attributed to P. V. Akacevich.

2 recordsLinked to original sources
arXiv2025

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

The paper is devoted to the three-loop renormalization of the effective action for a two-dimensional non-linear sigma model using the background field method and a cutoff regularization in the coordinate representation. The coefficients of the renormalization constant and the necessary auxiliary vertices are found, as well as the asymptotic expansions of all three-loop diagrams, and their dependence on the type of regularizing function. A comparison is also made with the standard case of cutoff in the momentum representation.

hep-th↗
arXiv2023

On Two-Loop Effective Action of 2D Sigma Model

In this paper, we study two-loop contribution to the effective action of a two-dimensional sigma model. We derive a new formula, which can be applicable to a regularization of general type. As examples, we obtain known results for dimensional regularization and investigate new types of cutoff one. Also, we discuss non-local contributions and restrictions on the regularization.

hep-th↗