Applicability condition of a cutoff in two-dimensional models

A. V. Ivanov

Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 30, Tome 532 (2024), pp. 153-168

Résumé

The paper discusses a condition of applicability 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 non-empty. Furthermore, a more stringent formulation of the condition is possible. Using the example of a two-loop quantum correction for a two-dimensional non-linear sigma model, the application of the cutoff regularization is demonstrated.

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