Constructive Field Theory in Zero Dimension

Constructive field theory can be considered as a reorganization of perturbation theory in a convergent way. In this pedagogical note we propose to wander through five different methods to compute the number of connected graphs of the zero-dimensional 𝜙4 field theory, in increasing order of sophistic...

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Main Author: V. Rivasseau
Format: Article
Language:English
Published: Wiley 2009-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2009/180159
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author V. Rivasseau
author_facet V. Rivasseau
author_sort V. Rivasseau
collection DOAJ
description Constructive field theory can be considered as a reorganization of perturbation theory in a convergent way. In this pedagogical note we propose to wander through five different methods to compute the number of connected graphs of the zero-dimensional 𝜙4 field theory, in increasing order of sophistication and power.
format Article
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institution Kabale University
issn 1687-9120
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language English
publishDate 2009-01-01
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series Advances in Mathematical Physics
spelling doaj-art-60803277e7dd4d3b8b490256d1510f712025-02-03T01:26:37ZengWileyAdvances in Mathematical Physics1687-91201687-91392009-01-01200910.1155/2009/180159180159Constructive Field Theory in Zero DimensionV. Rivasseau0Laboratoire de Physique Théorique, CNRS UMR 8627, Université Paris XI, 91405 Orsay Cedex, FranceConstructive field theory can be considered as a reorganization of perturbation theory in a convergent way. In this pedagogical note we propose to wander through five different methods to compute the number of connected graphs of the zero-dimensional 𝜙4 field theory, in increasing order of sophistication and power.http://dx.doi.org/10.1155/2009/180159
spellingShingle V. Rivasseau
Constructive Field Theory in Zero Dimension
Advances in Mathematical Physics
title Constructive Field Theory in Zero Dimension
title_full Constructive Field Theory in Zero Dimension
title_fullStr Constructive Field Theory in Zero Dimension
title_full_unstemmed Constructive Field Theory in Zero Dimension
title_short Constructive Field Theory in Zero Dimension
title_sort constructive field theory in zero dimension
url http://dx.doi.org/10.1155/2009/180159
work_keys_str_mv AT vrivasseau constructivefieldtheoryinzerodimension