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Low-energy limits and renormalization in meson theory

Deser, S. and Thirring, W. E. and Goldberger, M. L. (1954) Low-energy limits and renormalization in meson theory. Physical Review, 94 (3). pp. 711-723. ISSN 0031-899X. http://resolver.caltech.edu/CaltechAUTHORS:DESpr54a

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Abstract

A technique is developed for deriving rigorous expressions for zero-energy mesonic processes. Making use of the ambiguity of mesonic charge renormalization, the coupling constant is defined by zero-energy pion-nucleon scattering. The threshold photomeson production amplitude is also calculated. The experimental value of the coupling constant defined by scattering is at least an order of magnitude less than that of the coupling constant deduced from the photoproduction data. It is shown that pair suppression effects are absent in both cases. The possibility that the results obtained imply disagreement of pseudoscalar theory with experiment is discussed.


Item Type:Article
ORCID:
AuthorORCID
Deser, S.0000-0001-9285-9434
Additional Information:© 1954 The American Physical Society. Received 7 January 1954. We are indebted to Dr. N.M. Kroll and Dr. M.A. Ruderman for sending us a preprint of their paper, and to Dr. Kroll for several enlightening discussions. We have also benefited from conversations with Dr. G. Kallen and with Dr. R. Oppenheimer. Thanks are due Drs. E. Fermi and J. Steinberger for discussions of current experiments. Two of us (S.D. and W.T.) are grateful to the Institute for Advanced Study for grants-in-aid, and to Dr. Oppenheimer for the hospitality extended to us at the Institute. [S.D. was a] Parker Fellow, Harvard University.
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Institute for Advanced StudyUNSPECIFIED
Record Number:CaltechAUTHORS:DESpr54a
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:DESpr54a
Alternative URL:http://dx.doi.org/10.1103/PhysRev.94.711
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:9189
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:15 Nov 2007
Last Modified:15 Dec 2016 18:31

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