Simon, B. (1969) Convergence of regularized, renormalized perturbation series for super-renormalizable field theories. Il Nuovo Cimento A Series 10, 59 (1). pp. 199-214. ISSN 0369-3546. doi:10.1007/bf02756356. https://resolver.caltech.edu/CaltechAUTHORS:20181120-145801316
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Abstract
It is shown for the two-dimensional scalar Yukawa interaction, that the renormalized perturbation series has at least a finite radius of convergence when a regularized space-time and momentum space. This is accomplished by writing down the explicit renormalized series, studying some of its associated combinatorics, and applying Caianiello's standard arguments on the unrenormalized series ( 16 ). The result extends to any super-renormalizable theory of the φ ψ¯ψ form.
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| Additional Information: | © Italian Society of Physics 1969. (ricevuto il 12 Agosto 1968) This paper was written with partial support of the Air Force Research and Development Command under Contract No. AF 49(638)-1545. It is a pleasure to thank Prof. A. S. Wightman who originally suggested the problem, for his patience, advice and aid. I should also like to thank Prof. E. R. Caianiello for an enlightening correspondence on this paper. | ||||||
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| Subject Keywords: | Perturbation Series; Yukawa Interaction; Disjoint Cycle; Finite Radius; Vacuum Diagram | ||||||
| Issue or Number: | 1 | ||||||
| DOI: | 10.1007/bf02756356 | ||||||
| Record Number: | CaltechAUTHORS:20181120-145801316 | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20181120-145801316 | ||||||
| Official Citation: | Simon, B. New Cimento A (1965-1970) (1969) 59: 199. https://doi.org/10.1007/BF02756356 | ||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
| ID Code: | 91093 | ||||||
| Collection: | CaltechAUTHORS | ||||||
| Deposited By: | George Porter | ||||||
| Deposited On: | 20 Nov 2018 23:08 | ||||||
| Last Modified: | 16 Nov 2021 03:38 |
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