The Validity of Perturbation Series with Zero Radius of Convergence
- 1 November 1966
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 7 (11) , 1900-1902
- https://doi.org/10.1063/1.1704840
Abstract
Although the perturbation expansion for the S‐matrix of the Peres‐model field theory has zero radius of convergence, it uniquely defines the S‐matrix and is easily summable by the method of Padé approximants.Keywords
This publication has 6 references indexed in Scilit:
- Approximation by Sequences of Padé Approximants in Regions of MeromorphyJournal of Mathematical Physics, 1966
- Solution of Linear Integral Equations Using Padé ApproximantsJournal of Mathematical Physics, 1963
- Divergence and Summability of the Many-Fermion Perturbation SeriesPhysical Review B, 1963
- Mechanical Model for Quantum Field TheoryJournal of Mathematical Physics, 1963
- The Graphs for the Kernel of the Bethe-Salpeter EquationPhysical Review B, 1952
- Divergence of Perturbation Theory in Quantum ElectrodynamicsPhysical Review B, 1952