RT Journal Article
T1 Divergence of perturbation theory: Steps towards a convergent series
A1 Oleaga Apadula, Gerardo Enrique
A1 Pernice, Sergio A.
AB 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.
PB American Physical Society
SN 1550-7998
YR 1998
FD 1998-01-15
LK https://hdl.handle.net/20.500.14352/57744
UL https://hdl.handle.net/20.500.14352/57744
LA eng
DS Docta Complutense
RD 1 jul 2025