Quantum equation of motion and two-loop cutoff renormalization for ϕ³ model

2021/08/26 by A. V. Ivanov, А. В. Иванов, N. V. Kharuk · 14 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Cutoff #Dimensional regularization #Equations of motion #Functional renormalization group #Mathematical physics #Mathematics #Physics #Quantum #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum field theory #Quantum mechanics #Regularization (linguistics) #Renormalization #Renormalization group #hep-th

paper · pdf · open access · doi:10.1007/s10958-021-05500-5

published in Journal of Mathematical Sciences 257(4), 526-536 (Springer Science+Business Media) · 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

openalex publication_date 2021/08/26 · openalex created_date 2021/09/13 · arxiv created 2022/03/09 · arxiv updated 2022/03/10 · openalex updated_date 2026/08/05

Abstract

We present two-loop renormalization of ϕ³-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.

Citations

• Radiative Corrections, Divergences, Regularization, Renormalization, Renormalization Group and All That in Examples in Quantum Field Theory

Cited by

• Four-loop renormalization with a cutoff in a sextic model