Simon, Barry (1972) Summability Methods, the Strong Asymptotic Condition, and Unitarity in Quantum Field Theory. Physical Review Letters, 28 (17). pp. 1145-1146. ISSN 0031-9007. doi:10.1103/PhysRevLett.28.1145. https://resolver.caltech.edu/CaltechAUTHORS:20180417-153959845
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Abstract
We discuss a summability mechanism which preserves nonlinear perturbative conditions such as unitarity of the Feynman series. This condition, which relates a function f(z) and a series Σa_nz^n by the requirement ∣f(z) −Σn =^N 0a_nz^n∣ <~ Aσ^(N+1)(N+1)!|z|^(N+1) is applicable to certain divergent series.
| Item Type: | Article | ||||||
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| Additional Information: | © 1972 American Physical Society. (Received 28 February 1972) Research partially supported by the U. S. Air Force Office of Scientific Research under Contract No. F44620-71-C-0108. Alfred P. Sloan Foundation Fellow. | ||||||
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| Issue or Number: | 17 | ||||||
| DOI: | 10.1103/PhysRevLett.28.1145 | ||||||
| Record Number: | CaltechAUTHORS:20180417-153959845 | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20180417-153959845 | ||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
| ID Code: | 85912 | ||||||
| Collection: | CaltechAUTHORS | ||||||
| Deposited By: | George Porter | ||||||
| Deposited On: | 19 Apr 2018 17:04 | ||||||
| Last Modified: | 15 Nov 2021 20:33 |
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