Quasi-local probability averaging in the context of cutoff regularization
Mathematical Physics
2026-03-31 v1 High Energy Physics - Theory
math.MP
Abstract
In this paper, we study the properties of averaged fundamental solutions of a special type for Laplace operators in the Euclidean space of an arbitrary dimension. We consider a class of kernels suitable for probabilistic averaging, and propose new representations for the deformed fundamental solutions and their values at zero. In addition, we give examples related to specific quantum field models in the context of studying renormalization properties.
Keywords
Cite
@article{arxiv.2603.28235,
title = {Quasi-local probability averaging in the context of cutoff regularization},
author = {A. V. Ivanov and I. V. Korenev},
journal= {arXiv preprint arXiv:2603.28235},
year = {2026}
}
Comments
LaTeX, 20 pages. Firstly appeared in Russian, March 23, 2026, see https://www.pdmi.ras.ru/preprint/2026/26-04.html