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Quantum Equation of Motion and Two-Loop Cutoff Renormalization for 𝜙3 Model

Quantum equation of motion and two-loop cutoff renormalization for \(\varphi^3\) model
descriptionPublicationkeyboard_double_arrow_right Article , Preprint 26 Aug 2021Embargo end date: 01 Jan 2022 English Publisher:Springer Science and Business Media LLCJournal:Journal of Mathematical Sciences, volume 257, pages 526-536 (issn: 1072-3374, eissn: 1573-8795, Copyright policy )Funded by:FCT | D4
Authors: Ivanov, A. V.; Kharuk, N. V.;

doi: 10.1007/s10958-021-05500-5 , 10.48550/arxiv.2203.04562

arXiv: 2203.04562

Quantum Equation of Motion and Two-Loop Cutoff Renormalization for 𝜙3 Model

Abstract

We present two-loop renormalization of $��^3$-model effective action by using the background field method and cutoff momentum regularization. In this paper, we also study a derivation of the quantum equation of motion and its application to the renormalization.

LaTeX, 15 pages, 3 figures; The work has been published three years ago. In this version we have made some corrections and added calculations for the counterterm

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Keywords

Renormalization group methods applied to problems in quantum field theory, High Energy Physics - Theory, Graphs, diagram schemes, precategories, High Energy Physics - Theory (hep-th), FOS: Physical sciences, Model quantum field theories, Effective quantum field theories, Integral formulas of real functions of several variables (Stokes, Gauss, Green, etc.), Heat kernel

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
10
Top 10%
Top 10%
Top 10%
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