Products of distributions in several variables and applications to zero- mass \(QED_ 2\)
type: Item
instance of: scholarly article
title: Products of distributions in several variables and applications to zero- mass \(QED_ 2\)
zbMATH Open document ID: 0790.46023
DOI: 10.4171/ZAA/591
author: H. G. Embacher
author: Michael Oberguggenberger
author: Gebhard Grübl
published in: Zeitschrift für Analysis und ihre Anwendungen
publication date: 1993-10-13T00:00:00Z
review text: Summary: We study products of distributions in several variables, having in mind applications to quantum electrodynamics. We introduce a new product, the parameter product, and relate it to known ones. It follows us to rigorously interpret and evaluate products arising in the computations of the one-loop vacuum polarization of zero-mass \(\text{QED}_ 2\), thereby avoiding the occurrence of renormalization ambiguities from the very beginning.
Mathematics Subject Classification ID: 46F10
Mathematics Subject Classification ID: 81T40
Mathematics Subject Classification ID: 81T50
Mathematics Subject Classification ID: 81T16
zbMATH DE Number: 428719
zbMATH Keywords: Wightman distributions
zbMATH Keywords: products of distributions in several variables
zbMATH Keywords: applications to quantum electrodynamics
zbMATH Keywords: parameter product
zbMATH Keywords: one-loop vacuum polarization of zero-mass \(\text{QED}_ 2\)
zbMATH Keywords: renormalization
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 428719