Three-loop renormalization of the quantum action for a five-dimensional scalar cubic model with the usage of the background field method and a cutoff regularization
High Energy Physics - Theory
2024-10-29 v1 Mathematical Physics
math.MP
Abstract
The paper studies the quantum action for the five-dimensional real -theory in the case of a general formulation using the background field method. The three-loop renormalization is performed with the usage of a cutoff regularization in the coordinate representation. The explicit form of the first three coefficients for the renormalization constants is presented. The absence of non-local singular contributions and partial results for the fourth correction are discussed.
Keywords
Cite
@article{arxiv.2404.07513,
title = {Three-loop renormalization of the quantum action for a five-dimensional scalar cubic model with the usage of the background field method and a cutoff regularization},
author = {A. V. Ivanov and N. V. Kharuk},
journal= {arXiv preprint arXiv:2404.07513},
year = {2024}
}
Comments
LaTeX, 20 pages, 5 figures. Firstly appeared in Russian, April 9, 2024, see https://www.pdmi.ras.ru/preprint/2024/24-05.html