Truncation of Schwinger-Dyson equations and the 1N expansion in the O(N) model

C. L. Korpa, Jitendra C. Parikh, Philip J. Siemens

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Abstract

We use the O(N) model as a nonperturbative example to study the effect of truncating the Schwinger-Dyson sequence of equations. We show that truncation of this hierarchy leads in the O(N) model to solutions for the propagators and vertex functions correct to a definite power of 1N. The procedure can be used to generate a systematic expansion in 1N for an arbitrary Green's function of the model.

Original languageEnglish
Pages (from-to)1276-1279
Number of pages4
JournalPhysical Review D
Volume41
Issue number4
DOIs
Publication statusPublished - Jan 1 1990

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ASJC Scopus subject areas

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

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