A pedagogical remark on the main theorem of perturbative renormalization theory

A pedagogical remark on the main theorem of perturbative renormalization theory

In this note, it is proven that, given two perturbative constructions of time-ordered products via the Bogoliubov-Epstein-Glaser recursion, both sets of coupling functions are related by a local formal power series, recursively determined by causality.

Bibliographic Details
Main Authors: G. Popineau, R. Stora
Format: Article
Language:English
Published: Elsevier 2016-11-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321316300840
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spelling doaj-f3858f73f8314e76a829d7ef05c535c92020-11-24T23:40:42ZengElsevierNuclear Physics B0550-32131873-15622016-11-01912C707810.1016/j.nuclphysb.2016.04.046A pedagogical remark on the main theorem of perturbative renormalization theoryG. PopineauR. StoraIn this note, it is proven that, given two perturbative constructions of time-ordered products via the Bogoliubov-Epstein-Glaser recursion, both sets of coupling functions are related by a local formal power series, recursively determined by causality.http://www.sciencedirect.com/science/article/pii/S0550321316300840
collection DOAJ
language English
format Article
sources DOAJ
author G. Popineau
R. Stora
spellingShingle G. Popineau
R. Stora
A pedagogical remark on the main theorem of perturbative renormalization theory
Nuclear Physics B
author_facet G. Popineau
R. Stora
author_sort G. Popineau
title A pedagogical remark on the main theorem of perturbative renormalization theory
title_short A pedagogical remark on the main theorem of perturbative renormalization theory
title_full A pedagogical remark on the main theorem of perturbative renormalization theory
title_fullStr A pedagogical remark on the main theorem of perturbative renormalization theory
title_full_unstemmed A pedagogical remark on the main theorem of perturbative renormalization theory
title_sort pedagogical remark on the main theorem of perturbative renormalization theory
publisher Elsevier
series Nuclear Physics B
issn 0550-3213
1873-1562
publishDate 2016-11-01
description In this note, it is proven that, given two perturbative constructions of time-ordered products via the Bogoliubov-Epstein-Glaser recursion, both sets of coupling functions are related by a local formal power series, recursively determined by causality.
url http://www.sciencedirect.com/science/article/pii/S0550321316300840
work_keys_str_mv AT gpopineau apedagogicalremarkonthemaintheoremofperturbativerenormalizationtheory
AT rstora apedagogicalremarkonthemaintheoremofperturbativerenormalizationtheory
AT gpopineau pedagogicalremarkonthemaintheoremofperturbativerenormalizationtheory
AT rstora pedagogicalremarkonthemaintheoremofperturbativerenormalizationtheory
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