Perturbative renormalization of the lattice regularized φ 4 4 with flow equations Perturbative renormalization of the lattice regularized φ 4 4 with flow equations - Archive ouverte HAL
Article Dans Une Revue Journal of Mathematical Physics Année : 2020

Perturbative renormalization of the lattice regularized φ 4 4 with flow equations Perturbative renormalization of the lattice regularized φ 4 4 with flow equations

Résumé

The flow equations of the renormalization group allow to analyse the perturbative n-point functions of renormalizable quantum filed theories. Rigorous bounds implying renormalizability permit to control large momentum behaviour, infrared singularities and large order behaviour in the number of loops and the number of arguments n. In this paper, we analyse the Euclidean four-dimensional massive φ 4 theory using lattice regularization. We present a rigorous proof that this quantum field theory is renormalizable, to all orders of the loop expansion based on the flow equations. The lattice regularization is known to break Euclidean symmetry. Our main result is the proof of the restoration of the rotation and translation invariance in the renormalized theory using the flow equations.
Fichier principal
Vignette du fichier
Majdouline-Lattice-JMP.pdf (253.1 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-04459322 , version 1 (15-02-2024)

Identifiants

Citer

Majdouline Borji, Christoph Kopper. Perturbative renormalization of the lattice regularized φ 4 4 with flow equations Perturbative renormalization of the lattice regularized φ 4 4 with flow equations. Journal of Mathematical Physics, 2020, 61, ⟨10.1063/5.0024211⟩. ⟨hal-04459322⟩

Altmetric

Partager

More