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Open Access item Pade approximants and the prediction of non-perturbative parameters in particle physics

Authors:Catà, Óscar
Keywords:Strong interactions, Padé approximants, 1/Nc expansion
Issue Date:Dec-2010
Citation:Applied Numerical Mathematics Sp. Iss. SI 60 (12): 1273-1285 (2010)
Abstract:Commonly used techniques to study non-perturbative aspects of the strong interactions have a deep connection with rational approximants, and in particular with Pack approximants to meromorphic functions. However, only recently this connection has been acknowledged and efforts at fully exploiting it are only starting. In this article I will briefly review the most prominent techniques used in non-perturbative strong interactions with special emphasis on its relation with Pade approximants. I will then concentrate on a set of open problems outside the scope of these conventional techniques where Pade approximants might be extremely useful.
Description:Conference on Approximation and extrapolation of Convergent and Divergent Sequences and Series Luminy, FRANCE, SEP 28-OCT 02, 2009
Publisher version (URL):http://dx.doi.org/10.1016/j.apnum.2010.08.011
Appears in Collections:(IFIC) Comunicaciones congresos

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