On a criterion for a cutoff regularization in the coordinate representation

Fuente: arXiv
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Autore principale: Ivanov, A. V.
Natura: Preprint
Pubblicazione: 2024
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author Ivanov, A. V.
author_facet Ivanov, A. V.
contents The paper discusses an applicability criterion for a cutoff regularization in the coordinate representation in the Euclidean space with a dimension larger than two. It is shown that the set of functions satisfying the criterion is not empty. As an example, an explicit function is presented. It is proved by explicit construction that there are functions satisfying the criterion in a stronger formulation.
format Preprint
id arxiv_https___arxiv_org_abs_2403_09218
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On a criterion for a cutoff regularization in the coordinate representation
Ivanov, A. V.
Mathematical Physics
High Energy Physics - Theory
The paper discusses an applicability criterion for a cutoff regularization in the coordinate representation in the Euclidean space with a dimension larger than two. It is shown that the set of functions satisfying the criterion is not empty. As an example, an explicit function is presented. It is proved by explicit construction that there are functions satisfying the criterion in a stronger formulation.
title On a criterion for a cutoff regularization in the coordinate representation
topic Mathematical Physics
High Energy Physics - Theory
url https://arxiv.org/abs/2403.09218