Dimensional regularization and renormalization of QED
type: Item
instance of: scholarly article
title: Dimensional regularization and renormalization of QED
zbMATH Open document ID: 0719.58043
DOI: 10.1007/BF02098441
author: J. D. Wright
author: Lon Rosen
published in: Communications in Mathematical Physics
publication date: 1990-01-01T00:00:00Z
review text: The tree expansion method of renormalization [see e.g. \textit{G. Gallavotti}, Rev. Mod. Phys. 57, 471-562 (1985)] has been applied to QED by \textit{J. Feldman}, \textit{T. Hurd}, and the authors [QED: A proof of renormalizability. Lect. Notes Phys. 312 (1988)]. The purpose of the present paper is to replace the loop regularization used there, with an x-space formulation of dimensional regularization that is compatible with the tree expansion. Renormalization is achieved by subtraction of Lagrangian counterterms determined through the tree expansion, so does not entail a knowledge of the meromorphic structure of the graph as a function of dimension. This renormalization procedure respects the Ward identities, and the counterterms required are gauge invariant.
Mathematics Subject Classification ID: 58Z05
Mathematics Subject Classification ID: 81T15
Mathematics Subject Classification ID: 81V10
Mathematics Subject Classification ID: 58J90
zbMATH DE Number: 4186712
zbMATH Keywords: gauge invariant renormalization
zbMATH Keywords: tree expansion
zbMATH Keywords: dimensional regularization
MaRDI profile type: Publication
cites work: A renormalization group proof of perturbative renormalizability
cites work: Quantum field theory techniques in graphical enumeration
cites work: Q5613839
description: scientific article