Resummation of nonalternating divergent perturbative expansions

Research output: Contribution to journalArticle

23 Citations (Scopus)

Abstract

A method for the resummation of a nonalternating divergent perturbation series is described. The procedure constitutes a generalization of the Borel-Padé method. Of crucial importance is a special integration contour in the complex plane. Nonperturbative imaginary contributions can be inferred from the purely real perturbative coefficients. A connection is drawn from the quantum field theoretic problem of resummation to divergent perturbative expansions in other areas of physics.

Original languageEnglish
Article number076001
Pages (from-to)1-5
Number of pages5
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume62
Issue number7
Publication statusPublished - Oct 1 2000

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perturbation
physics
expansion
Quantum Fields
coefficients
Argand diagram
Physics
Perturbation
Series
Coefficient
Generalization

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Nuclear and High Energy Physics
  • Mathematical Physics
  • Physics and Astronomy (miscellaneous)

Cite this

Resummation of nonalternating divergent perturbative expansions. / Jentschura, Ulrich D.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 62, No. 7, 076001, 01.10.2000, p. 1-5.

Research output: Contribution to journalArticle

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