ISSN:
1432-0916
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
,
Physics
Notes:
Abstract 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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01214881