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Divergence of perturbation theory: Steps towards a convergent series

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Oleaga Apadula, Gerardo Enrique y Pernice, Sergio A. (1998) Divergence of perturbation theory: Steps towards a convergent series. Physical Review D , 57 (2). 1144-1158 . ISSN 1550-7998

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URL Oficial: http://prd.aps.org/pdf/PRD/v57/i2/p1144_1


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Resumen

The mechanism underlying the divergence of perturbation theory is exposed. This is done through a detailed study of the violation of the hypothesis of Lebesgue's dominated convergence theorem using familiar techniques of quantum held theory. That theorem governs the validity (or lack of it) of the formal manipulations done to generate the perturbative series in the functional integral formalism. The aspects of the perturbative series that need to be modified to obtain a convergent series are presented. Useful tools for a practical implementation of these modifications are developed. Some resummation methods are analyzed in the light of the above mentioned mechanism.


Tipo de documento:Artículo
Palabras clave:Optimized delta-expansion; Connected vacuum amplitude; Order dependent mappings; Quantum-field theory; Anharmonic-oscillator; Variational calculation; Nonlinear-systems; Zero dimensions; Proof; Approximations
Materias:Ciencias > Matemáticas > Ecuaciones diferenciales
Código ID:17294
Depositado:03 Dic 2012 10:38
Última Modificación:07 Feb 2014 09:45

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