Alternative implementation of Pade approximants

Journal Article · Mon Oct 01 00:00:00 EDT 2007 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.76.076001· OSTI ID:21032388

Amore, Paolo ^[1]

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1. Facultad de Ciencias, Universidad de Colima, Bernal Diaz del Castillo 340, Colima, Colima (Mexico)

In this paper we devise an alternative approach to the use of Pade approximants in the resummation of the perturbative (either divergent or convergent) series. Our procedure relies on the introduction of a nonphysical parameter and on the constraint that the physical observable be linear in this parameter. The relation between the unphysical parameter and the physical perturbative parameter is expressed in terms of a Pade approximant, whose form can be fully determined. We have applied this strategy to a number of examples and we have compared the results to those obtained following the standard Pade approach, observing that in many cases our approach is superior.

• OSTI ID: 21032388
• Journal Information: Physical Review. D, Particles Fields, Vol. 76, Issue 7; Other Information: DOI: 10.1103/PhysRevD.76.076001; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CALCULATION METHODS
COMPARATIVE EVALUATIONS
PADE APPROXIMATION
PERTURBATION THEORY
QUANTUM FIELD THEORY