On the Convergence of Planar Diagram Expansions
Mar, 198234 pages
Published in:
- Commun.Math.Phys. 86 (1982) 449
DOI:
Report number:
- Print-82-0226 (UTRECHT)
Citations per year
Abstract: (Springer)
Renormalizable quantum field theories whose perturbation expansions are described by planar Feynman diagrams only, such as SU(∞) gauge theory, are considered in 4 dimensional Euclidean space. For studying asymptotic properties of the perturbation series one might wish to isolate first all those planar diagrams that do not contain any ultraviolet divergent subgraphs. In this paper it is proved that this infinite set of diagrams, when summed, converges within a finite radius of convergence for the coupling constant.- FIELD THEORETICAL MODEL: RENORMALIZABLE
- PERTURBATION THEORY
- FEYNMAN GRAPH: PLANAR
- PROPAGATOR: TWO-POINT FUNCTION
- FIELD THEORY: SHORT-DISTANCE BEHAVIOR
- TRANSFORMATION: ASYMPTOTIC EXPANSION
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