Ambiguity in Pade-approximant calculations
Attention is called to the fact that owing to poor convergence properties, the numerical results of Pade calculations can and do depend sensitively on the way in which one does the renormalization. There is consequently, an element of ambiguity in such calculations. Furthermore, the resulting numerical effects can be quite large. The linear sigma model is used as an illustration. One can calculate the rho width, which characterized the behavior of the amplitude, for which two alternative predictions are made, in the vicinity of the rho mass. The result is MMA ub rho/ approximately equal to 35 MeV. The calculation of this quantity is clearly very sensitive to a change in the renormalization procedure, the reason being the poor convergence properties of the perturbation series. A change in the renormalization procedure is equivalent to a rearrangement of the perturbation series. Finally if the Pade formula is to be used as a basis for phenomenology, these considerations show that one renormalization may yield better fits than another one. (JFP)
- Research Organization:
- Univ., of California, San Diego, La Jolla
- NSA Number:
- NSA-33-015758
- OSTI ID:
- 4113974
- Journal Information:
- Lett. Nuovo Cim., v. 13, no. 18, Other Information: Orig. Receipt Date: 30-JUN-76
- Country of Publication:
- Italy
- Language:
- English
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