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<p><i>The paper discusses an applicability condition for a cutoff regularization in the coordinate representation in two-dimensional Euclidean space. Several important properties and examples are presented. Specifically, it is shown that the set of functions satisfying the condition is nonempty. Furthermore, a more stringent formulation of the condition is possible. Using the example of a two-loop quantum correction for a two-dimensional nonlinear sigma model, the application of the cutoff regularization is demonstrated. Bibliography:</i> 33 <i>titles.</i></p>

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APPLICABILITY CONDITION OF A CUTOFF IN TWO-DIMENSIONAL MODELS

  • 期刊论文

  • 发表日期：

    2026年5月25日

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  • A. V. Ivanov

摘要

The paper discusses an applicability condition for a cutoff regularization in the coordinate representation in two-dimensional Euclidean space. Several important properties and examples are presented. Specifically, it is shown that the set of functions satisfying the condition is nonempty. Furthermore, a more stringent formulation of the condition is possible. Using the example of a two-loop quantum correction for a two-dimensional nonlinear sigma model, the application of the cutoff regularization is demonstrated. Bibliography: 33 titles.