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On the ambiguity of field correlators represented by asymptotic perturbation expansions

Result description

We consider functions represented by an integral of the Laplace-Borel type along a general contour in the complex plane. Proving a modified form of Watson's Lemma we obtain a large class of functions having the same asymptotic power expansion. By our result, the class of functions possesing the same asymptotic expansion is considerably extended.

Keywords

asymptotic expansionWatson lemmaLaplace integral

The result's identifiers

Alternative languages

  • Result language

    angličtina

  • Original language name

    On the ambiguity of field correlators represented by asymptotic perturbation expansions

  • Original language description

    We consider functions represented by an integral of the Laplace-Borel type along a general contour in the complex plane. Proving a modified form of Watson's Lemma we obtain a large class of functions having the same asymptotic power expansion. By our result, the class of functions possesing the same asymptotic expansion is considerably extended.

  • Czech name

  • Czech description

Classification

  • Type

    Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2009

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Journal of Physics A-Mathematical and Theoretical

  • ISSN

    1751-8113

  • e-ISSN

  • Volume of the periodical

    42

  • Issue of the periodical within the volume

    39

  • Country of publishing house

    GB - UNITED KINGDOM

  • Number of pages

    13

  • Pages from-to

  • UT code for WoS article

    000269771100023

  • EID of the result in the Scopus database

Result type

Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

Jx

CEP

BA - General mathematics

Year of implementation

2009