Constructive Field Theory in Zero Dimension

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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Veröffentlicht in:Advances in Mathematical Physics 2009-01, Vol.2009 (1), p.49-60
1. Verfasser: Rivasseau, V.
Format: Artikel
Sprache:eng
Schlagworte:
Integrals
Mathematical Physics
Mathematics
Physics
Quantum field theory
Trees
Variables
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Beschreibung
Zusammenfassung: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.
ISSN:1687-9120
1687-9139
DOI:10.1155/2009/180159