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

Abstract

The paper studies the quantum action for the five-dimensional real ${\varphi }^3$-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.

arXiv commentLaTeX, 20 pages, 5 figures. Firstly appeared in Russian, April 9, 2024, see https://www.pdmi.ras.ru/preprint/2024/24-05.html

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• Two-Loop Cutoff Renormalization of 4-D Yang-Mills Effective Action
• Formula for two-loop divergent part of 4-D Yang-Mills effective action
• Special Functions for Heat Kernel Expansion
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Cited by in corpus (1)

• Effective actions, cutoff regularization, quasi-locality, and gluing of partition functions