Perturbative renormalization of ϕ44 theory on the half space R+×R3 with flow equations - Archive ouverte HAL
Article Dans Une Revue Journal of Mathematical Physics Année : 2022

Perturbative renormalization of ϕ44 theory on the half space R+×R3 with flow equations

Majdouline Borji
Christoph Kopper

Résumé

In this paper, we give a rigorous proof of the renormalizability of the massive ϕ 4 4 theory on a half-space using renormalization group flow equations. We find that five counterterms are needed to make the theory finite, namely, ϕ 2 , ϕ∂zϕ, ϕ∂ 2 z ϕ, ϕΔxϕ, and ϕ 4 for (z, x) ∈ R + × R 3. The amputated correlation functions are distributions in position space. We consider a suitable class of test functions and prove inductive bounds for the correlation functions folded with these test functions. The bounds are uniform in the cutoff and, thus, directly lead to renormalizability.
Fichier principal
Vignette du fichier
Majdouline-JMP2022.pdf (5.19 Mo) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-04459344 , version 1 (15-02-2024)

Identifiants

Citer

Majdouline Borji, Christoph Kopper. Perturbative renormalization of ϕ44 theory on the half space R+×R3 with flow equations. Journal of Mathematical Physics, 2022, 63, ⟨10.1063/5.0097164⟩. ⟨hal-04459344⟩

Altmetric

Partager

More